{"id":31048,"date":"2023-06-21T14:51:43","date_gmt":"2023-06-21T14:51:43","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=31048"},"modified":"2023-11-16T05:07:24","modified_gmt":"2023-11-16T05:07:24","slug":"types-of-polynomials-monomial-binomial-trinomial-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-polynomials","title":{"rendered":"Types of Polynomials: Monomial, Binomial, Trinomial, Examples, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-50b65298-b17c-495a-8c1a-d6d3424874f9\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-polynomials#0-what-are-the-types-of-polynomials>What Are the Types of Polynomials?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-polynomials#3-types-of-polynomials-on-the-basis-of-degree>Types of Polynomials on the Basis of Degree<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-polynomials#4-types-of-polynomials-on-the-basis-of-the-number-of-terms>Types of Polynomials on the Basis of the Number of Terms<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-polynomials#8-solved-examples-for-types-of-polynomials>Solved Examples for Types of Polynomials<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-polynomials#9-practice-problems-on-types-of-polynomials>Practice Problems on Types of Polynomials<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-polynomials#10-frequently-asked-questions-on-types-of-polynomials>Frequently Asked Questions on Types of Polynomials<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-the-types-of-polynomials\">What Are the Types of Polynomials?<\/h2>\n\n\n\n<p>The types of polynomials can be categorized:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>On the basis of degree.<\/li>\n\n\n\n<li>On the basis of the number of terms.<\/li>\n<\/ul>\n\n\n\n<p>A polynomial is an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/expression\">algebraic expression<\/a> with a finite number of terms composed of constants, variables, coefficients, and exponents, which are connected by operations (<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/addition\">addition<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\">subtraction<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication\">multiplication<\/a>, and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division\">division<\/a> but no division by a variable), such that variables only have positive integral powers. Variables are also known as \u201cindeterminates.\u201d<br><\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Examples of polynomials<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Non-examples of polynomials<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$g(x) = 2x^{2} + 9x \\;-\\;8$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$x\\;-\\;5$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$x^{3}y\\;-\\;xy \\;-\\;8$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{x \\;-\\; 1}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$z + 1$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$5\\sqrt{x}y\\;-\\;6$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-coins-of-different-types-and-compare\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/money_is_amount_enough_2_pt.png\" alt=\"Add Coins of Different Types and Compare Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Coins of Different Types and Compare Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-total-money-using-different-types-of-coins\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/money_count_mixed_coins_qrtr_hlf_dollar_pt.png\" alt=\"Count Total Money using Different Types of Coins Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count Total Money using Different Types of Coins Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/different-types-of-coins\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/money_identify_coins_pnd_g1_pt.png\" alt=\"Different Types of Coins Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Different Types of Coins Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-angles-by-their-types\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_types_of_angle_pt.png\" alt=\"Identify Angles by their Types Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Angles by their Types Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-types-of-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_types_of_triangles_pt.png\" alt=\"Identify Types of Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Types of Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-degree-of-a-polynomial\">Degree of a Polynomial<\/h2>\n\n\n\n<p>The degree of a polynomial with a single variable can be defined as the highest exponent of the variable. A polynomial is said to be in the standard form when we write its terms from the highest to the lowest degree.<\/p>\n\n\n\n<p><strong>Example: <\/strong>The polynomial is $x^{3} + 4x^{2} + 3x\\;-\\;1$ has four terms, and the greatest exponent of x is 3. Thus, the degree of the polynomial is 3.<\/p>\n\n\n\n<p>In case of a polynomial having more than one variable, the degree of the polynomial is the greatest number among the sums of the exponents of all <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/variable\">variables<\/a> in each term present in the polynomial.&nbsp;<\/p>\n\n\n\n<p><strong>Example:<\/strong> The polynomial $x^{3}y + 4x^{2} y \\;-\\; y^{2}$ has three terms. The degree of this polynomial is 4 because&nbsp;<\/p>\n\n\n\n<p>Sum of exponents in the first term $= 3 + 1 = 4$<\/p>\n\n\n\n<p>Sum of exponents in the second term $= 2 + 1 = 3$<\/p>\n\n\n\n<p>Exponent in the third term $= 2$<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-amount-using-different-types-of-bills\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-amount-using-different-types-of-bills.jpeg\" alt=\"Guess the Amount Using Different Types of Bills Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-amount-using-different-types-of-coins\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-amount-using-different-types-of-coins.jpeg\" alt=\"Guess the Amount Using Different Types of Coins Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-amount-using-same-types-of-bills\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-amount-using-same-types-of-bills.jpeg\" alt=\"Guess the Amount Using Same Types of Bills Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-amount-using-same-types-of-coins\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-amount-using-same-types-of-coins.jpeg\" alt=\"Guess the Amount Using Same Types of Coins Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/sort-on-the-basis-of-types-of-corners\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/sort-on-the-basis-of-types-of-corners.jpeg\" alt=\"Sort on the Basis of Types of Corners Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-parts-of-a-polynomial\">Parts of a Polynomial<\/h2>\n\n\n\n<p>The important parts of a polynomial are its degree, leading term, leading coefficient, and the constant term.&nbsp;<\/p>\n\n\n\n<p><strong>Example:<\/strong> Consider the polynomial,&nbsp; $x^{3} + 4x^{2} + 3x \\;-\\; 1$.<\/p>\n\n\n\n<p>Degree: 3 (highest power in the polynomial)<\/p>\n\n\n\n<p>Leading term: $x^{3}$ (the term containing highest power)<\/p>\n\n\n\n<p>Leading coefficient: 1 (the coefficient of the leading term)<\/p>\n\n\n\n<p>Constant term: -1 (the term\/a number without a variable or $x^{0}$ term)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"326\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/parts-of-a-polynomial.png\" alt=\"Parts of a polynomial\" class=\"wp-image-36009\" title=\"Parts of a polynomial\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-types-of-polynomials-on-the-basis-of-degree\">Types of Polynomials on the Basis of Degree<\/h2>\n\n\n\n<p>The degree of the polynomial is the highest power in the polynomial. Based on it, there are four major types of polynomials, zero or constant, linear, quadratic and cubic polynomial.&nbsp;<\/p>\n\n\n\n<p><strong>Zero Polynomial<\/strong><\/p>\n\n\n\n<p>It does not have a variable. It has no terms. The coefficient of all variables is zero. Its degree is not defined. Zero polynomial is of the form $P(x) = 0$.<\/p>\n\n\n\n<p><strong>Important Points to Remember:&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In general, $f(x) = c$ is known as a constant polynomial (degree of the polynomial is 0). A constant polynomial $f(x) = c$ with $c = 0$ is called a zero polynomial. The degree of zero polynomial is not defined.<\/li>\n\n\n\n<li>A zero polynomial and a zero-degree polynomial are different.<\/li>\n<\/ul>\n\n\n\n<p>Zero-degree polynomial (constant polynomial) means the degree of all variables in the polynomial is 0. Zero polynomial is the polynomial in which the coefficients of all variables are 0.<\/p>\n\n\n\n<p><strong>Linear Polynomial<\/strong><\/p>\n\n\n\n<p>The degree of a linear polynomial is 1. It is of the form $f(x) = ax + b$.<\/p>\n\n\n\n<p>Example: $x + y +3$<\/p>\n\n\n\n<p><strong>Quadratic Polynomial<\/strong><\/p>\n\n\n\n<p>Quadratic polynomials are the types of polynomials with degree 2. It is of the form $f(x) = ax^{2} + bx + c$.<\/p>\n\n\n\n<p>Example: $4x^{2} + 3x \\;-\\; 1$<\/p>\n\n\n\n<p><strong>Cubic Polynomial<\/strong><\/p>\n\n\n\n<p>Cubic polynomial is the polynomial whose degree is 3. It is of the form $f(x) = ax^{3} + bx^{2} + cx + d$.<\/p>\n\n\n\n<p>Example: $x3 + 4&#215;2+ 3x \\;-\\; 1$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-types-of-polynomials-on-the-basis-of-the-number-of-terms\">Types of Polynomials on the Basis of the Number of Terms<\/h2>\n\n\n\n<p>The terms of polynomials are the constituents in the polynomial equation separated by the mathematical operators. For instance, the polynomial $x^{3} + 4x^{2} + 3x \\;-\\; 1$ has four terms separated by three operators. Based on the number of terms, the main four types of polynomials are monomials, binomials, trinomials, and quadrinomials.<\/p>\n\n\n\n<p><strong>Monomials<\/strong><\/p>\n\n\n\n<p>Monomials are polynomials that contain only one non-zero term.&nbsp;<\/p>\n\n\n\n<p>Examples: $3x ,\\; x^{3},\\;8$&nbsp;<\/p>\n\n\n\n<p><strong>Binomials<\/strong><\/p>\n\n\n\n<p>A binomial contains two terms.&nbsp;<\/p>\n\n\n\n<p>Examples: $a^{2} + 1,\\; x + y$<\/p>\n\n\n\n<p><strong>Trinomial<\/strong><\/p>\n\n\n\n<p>A trinomial contains three terms.&nbsp;<\/p>\n\n\n\n<p>Examples: $4x^{2} + 3x \\;-\\; 1,\\; x^{2} + 3y \\;-\\; 1$<\/p>\n\n\n\n<p><strong>Four-term Polynomial or Quadrinomial<\/strong><\/p>\n\n\n\n<p>It contains four terms.<\/p>\n\n\n\n<p>Example: $x^{3} + 4x^{2} + 3x \\;-\\; 1$<\/p>\n\n\n\n<p>The list continues based on the increase in the number of terms. The five-term polynomial has five different terms, and so on.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-special-types-of-polynomials\">Special Types of Polynomials<\/h2>\n\n\n\n<p>Let\u2019s discuss a few special types of polynomials.<\/p>\n\n\n\n<p><strong>Monic Polynomial<\/strong><\/p>\n\n\n\n<p>A polynomial in a single variable whose leading coefficient is 1 is called the monic polynomial.<\/p>\n\n\n\n<p><strong>Example:<\/strong> $x^{5} + 3x + 1$<\/p>\n\n\n\n<p>Here, the leading term is $x^{5}$. The leading coefficient is 1.<\/p>\n\n\n\n<p><strong>Constant Polynomial<\/strong><\/p>\n\n\n\n<p>A constant polynomial is a polynomial whose degree is 0. Its graph is parallel to the x-axis. It is of the form $f(x) = k$<strong>,<\/strong> where<strong> k <\/strong>is a constant. When $k = 0$<strong>, <\/strong>it is called a zero polynomial.<\/p>\n\n\n\n<p><strong>Example: <\/strong>$f(x) = 6$<\/p>\n\n\n\n<p><strong>Irreducible Polynomial<\/strong><\/p>\n\n\n\n<p>A polynomial that cannot be factored into lower degree polynomials is called an irreducible polynomial.<\/p>\n\n\n\n<p><strong>Example:<\/strong> $x^{5}\\;-\\;3$ is irreducible over the set of real numbers.<\/p>\n\n\n\n<p>However, $x^{2}\\;-\\;4$ is not an irreducible polynomial.<\/p>\n\n\n\n<p><strong>Homogeneous Polynomial<\/strong><\/p>\n\n\n\n<p>If each term in a polynomial has the same degree, then the polynomial is called a homogeneous polynomial.&nbsp;<\/p>\n\n\n\n<p><strong>Example: <\/strong>$x^{3} + 2x^{2} y + y^{3}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-types-of-polynomials\">Facts about Types of Polynomials<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Polynomials can not have an infinite number of terms.<\/li>\n\n\n\n<li>Polynomial equations are algebraic equations obtained by equating polynomials to 0.<br>Example:&nbsp;$x^{3} + 4x^{2} + 3x \\;-\\; 1 = 0$<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about different types of polynomials based on the degree and the number of terms. Let\u2019s solve a few examples and practice problems to understand the concept better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-for-types-of-polynomials\">Solved Examples for Types of Polynomials<\/h2>\n\n\n\n<p><strong>1. What is the degree and the leading coefficient of the polynomial <\/strong>$5x^{3} + 2x^{2} + 3c$<strong>? What type of polynomial is it?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Given polynomial:<strong> <\/strong>$5x^{3} + 2x^{2} + 3c$<\/p>\n\n\n\n<p>The degree of the polynomial $= 3$.<\/p>\n\n\n\n<p>Leading term $= &nbsp;5x^{3}$<\/p>\n\n\n\n<p>Leading coefficient = The coefficient of the leading term $= 5$<\/p>\n\n\n\n<p>Since the degree of the polynomial is 3, it is a cubic polynomial.<\/p>\n\n\n\n<p>Since there are 3 terms in the polynomial, it is trinomial.<\/p>\n\n\n\n<p><strong>2. What is the degree and the type of the polynomial <\/strong>$f(x) = x$<strong>?&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The degree of the polynomial is defined as the highest power or exponent associated with the variable.&nbsp;<\/p>\n\n\n\n<p>Thus, the degree of $f(x) = x$ is 1.<\/p>\n\n\n\n<p>This is a linear polynomial.<\/p>\n\n\n\n<p>Also, it is a monomial since there\u2019s only a single term in the polynomial.<\/p>\n\n\n\n<p><strong>3. Categorize the given polynomials on the basis of degree and the number of terms.<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>$x^{5}$&nbsp;&nbsp;<\/li>\n\n\n\n<li>$y^{2}\\;-\\;1$<\/li>\n\n\n\n<li>$x + y + z$<\/li>\n\n\n\n<li>$x^{2}y + x^{2} + y$<\/li>\n\n\n\n<li><strong>0<\/strong><\/li>\n\n\n\n<li><strong>9<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th><strong>Polynomial<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Category based on the degree<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Category based on the number of terms<\/strong><\/th><\/tr><\/thead><tbody><tr><td>$x^{2}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">Quadratic polynomial $(\\text{degree} = 2)$<\/td><td class=\"has-text-align-center\" data-align=\"center\">Monomial (One term)<\/td><\/tr><tr><td>$y^{2}\\;-\\;1$<\/td><td class=\"has-text-align-center\" data-align=\"center\">Quadratic polynomial $(\\text{degree} = 2)$<\/td><td class=\"has-text-align-center\" data-align=\"center\">Binomial (2 terms)<\/td><\/tr><tr><td>$x + y + z$<\/td><td class=\"has-text-align-center\" data-align=\"center\">Linear polynomial&nbsp;$(\\text{degree} = 1)$<\/td><td class=\"has-text-align-center\" data-align=\"center\">Trinomial (3 terms)<\/td><\/tr><tr><td>$x^{2}y + x^{2} + y$<\/td><td class=\"has-text-align-center\" data-align=\"center\">Cubic polynomial$(\\text{degree} = 3)$<\/td><td class=\"has-text-align-center\" data-align=\"center\">Trinomial (3 terms)<\/td><\/tr><tr><td><strong>0<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">Zero polynomial&nbsp;$(\\text{degree} = \\text{not defined})$<\/td><td class=\"has-text-align-center\" data-align=\"center\">Monomial (One term)<\/td><\/tr><tr><td><strong>9<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">Constant polynomial&nbsp;$(\\text{degree} = 2)$<\/td><td class=\"has-text-align-center\" data-align=\"center\">Monomial (One term)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-types-of-polynomials\">Practice Problems on Types of Polynomials<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Types of Polynomials: Monomial, Binomial, Trinomial, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The polynomial $x^{3} + 4x^{2} \\;-\\; 1$ is ___________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">cubic and monomial<\/div><div class=\"spq_answer_block\" data-value=\"1\">quadratic and trinomial<\/div><div class=\"spq_answer_block\" data-value=\"2\">cubic and trinomial<\/div><div class=\"spq_answer_block\" data-value=\"3\">linear and binomial<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: cubic and trinomial<br\/>Degree $= 3$ and Number of terms $= 3$<br>\r\nThus, the polynomial is cubic and trinomial.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the type of  $7x + 1$ on the basis of degree?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Binomial<\/div><div class=\"spq_answer_block\" data-value=\"1\">Linear<\/div><div class=\"spq_answer_block\" data-value=\"2\">Constant<\/div><div class=\"spq_answer_block\" data-value=\"3\">Cubic<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Linear<br\/>Degree $= 1$<br>\r\nThus, the polynomial is linear.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Identify a monic polynomial.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$2x^{2} + 4x^{2}\\;-\\;1$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$5x$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$x^{3} + 4x^{2} + x$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$3x + 2y$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $x^{3} + 4x^{2} + x$<br\/>A polynomial in a single variable whose leading coefficient is 1 is called the monic polynomial.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The number 2 can be written in a polynomial form as _____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$x^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$2x^{0}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">0<\/div><div class=\"spq_answer_block\" data-value=\"3\">1<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $2x^{0}$<br\/>$2 = 2x^{0}$ since $x^{0} = 1$.<br>\r\nThis is a constant polynomial.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Types of Polynomials: Monomial, Binomial, Trinomial, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Types of Polynomials\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The polynomial $$x^{3} + 4x^{2} \\\\;-\\\\; 1$$ is ___________.\",\n                    \"text\": \"The polynomial $$x^{3} + 4x^{2} \\\\;-\\\\; 1$$ is ___________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Degree $$= 3$$ and Number of terms $$= 3$$<br>\r\nThus, the polynomial is cubic and trinomial.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"cubic and monomial\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Degree $$= 3$$ and Number of terms $$= 3$$<br>\r\nThus, the polynomial is cubic and trinomial.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"quadratic and trinomial\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Degree $$= 3$$ and Number of terms $$= 3$$<br>\r\nThus, the polynomial is cubic and trinomial.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"linear and binomial\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Degree $$= 3$$ and Number of terms $$= 3$$<br>\r\nThus, the polynomial is cubic and trinomial.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"cubic and trinomial\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Degree $$= 3$$ and Number of terms $$= 3$$<br>\r\nThus, the polynomial is cubic and trinomial.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Degree $$= 3$$ and Number of terms $$= 3$$<br>\r\nThus, the polynomial is cubic and trinomial.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the type of  $$7x + 1$$ on the basis of degree?\",\n                    \"text\": \"What is the type of  $$7x + 1$$ on the basis of degree?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Degree $$= 1$$<br>\r\nThus, the polynomial is linear.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Binomial\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Degree $$= 1$$<br>\r\nThus, the polynomial is linear.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Constant\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Degree $$= 1$$<br>\r\nThus, the polynomial is linear.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Cubic\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Degree $$= 1$$<br>\r\nThus, the polynomial is linear.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Linear\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Degree $$= 1$$<br>\r\nThus, the polynomial is linear.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Degree $$= 1$$<br>\r\nThus, the polynomial is linear.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify a monic polynomial.\",\n                    \"text\": \"Identify a monic polynomial.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A polynomial in a single variable whose leading coefficient is 1 is called the monic polynomial.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2x^{2} + 4x^{2}\\\\;-\\\\;1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A polynomial in a single variable whose leading coefficient is 1 is called the monic polynomial.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$5x$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A polynomial in a single variable whose leading coefficient is 1 is called the monic polynomial.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3x + 2y$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A polynomial in a single variable whose leading coefficient is 1 is called the monic polynomial.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$x^{3} + 4x^{2} + x$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A polynomial in a single variable whose leading coefficient is 1 is called the monic polynomial.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A polynomial in a single variable whose leading coefficient is 1 is called the monic polynomial.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The number 2 can be written in a polynomial form as _____.\",\n                    \"text\": \"The number 2 can be written in a polynomial form as _____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$2 = 2x^{0}$$ since $$x^{0} = 1$$.<br>\r\nThis is a constant polynomial.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$x^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2 = 2x^{0}$$ since $$x^{0} = 1$$.<br>\r\nThis is a constant polynomial.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2 = 2x^{0}$$ since $$x^{0} = 1$$.<br>\r\nThis is a constant polynomial.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2 = 2x^{0}$$ since $$x^{0} = 1$$.<br>\r\nThis is a constant polynomial.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$2x^{0}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$2 = 2x^{0}$$ since $$x^{0} = 1$$.<br>\r\nThis is a constant polynomial.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$2 = 2x^{0}$$ since $$x^{0} = 1$$.<br>\r\nThis is a constant polynomial.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-on-types-of-polynomials\">Frequently Asked Questions on Types of Polynomials<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\"><strong>Can we convert higher-order binomials to lower-order binomials?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\">\n\n<p>Yes, we can convert higher-order binomials to lower-order binomials by factorization.<\/p>\n\n\n\n<p>$x^{4}\\;-\\;16 = (x^{2}\\;-\\;4)(x^{2} + 4)=(x + 2)(x\\;-\\;2)(x^{2} + 4)$<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\"><strong>How do we add polynomials?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\">\n\n<p>To add two polynomials, we add like terms (terms having the same degree).<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\"><strong>What are the polynomials with degree 4 called?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\">\n\n<p>Polynomials with degree 4 are called bi-quadratic polynomials.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\"><strong>Can a monomial be a constant?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\">\n\n<p>Yes, a monomial can be a constant.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\"><strong>Is zero polynomial a monomial?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-6f57012f-1cdb-4907-bbd1-9e76fc8afbf1\">\n\n<p>Yes, 0 is a real number and a monomial can be a constant. Thus, zero polynomial is a monomial.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are the Types of Polynomials? The types of polynomials can be categorized: A polynomial is an algebraic expression with a finite number of terms composed of constants, variables, coefficients, and exponents, which are connected by operations (addition, subtraction, multiplication, and division but no division by a variable), such that variables only have positive integral &#8230; <a title=\"Types of Polynomials: Monomial, Binomial, Trinomial, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-polynomials\" aria-label=\"More on Types of Polynomials: Monomial, Binomial, Trinomial, Examples, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-31048","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31048","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=31048"}],"version-history":[{"count":15,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31048\/revisions"}],"predecessor-version":[{"id":36010,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31048\/revisions\/36010"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=31048"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=31048"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=31048"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}