{"id":32492,"date":"2023-08-02T16:49:03","date_gmt":"2023-08-02T16:49:03","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=32492"},"modified":"2023-08-03T03:00:47","modified_gmt":"2023-08-03T03:00:47","slug":"degree-of-a-polynomial-definition-types-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/degree-of-polynomial","title":{"rendered":"Degree of a Polynomial: Definition, Types, Examples, Facts, 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-f35a4ec4-5aab-4c4c-b249-29df11ca655e\" 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\/degree-of-polynomial#0-what-is-the-degree-of-a-polynomial>What Is the Degree of a Polynomial?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/degree-of-polynomial#2-degree-of-a-polynomial-with-one-variable>Degree of a Polynomial with One Variable<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/degree-of-polynomial#4-how-to-find-the-degree-of-a-polynomial>How to Find the Degree of a Polynomial<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/degree-of-polynomial#11-solved-examples-on-degree-of-a-polynomial>Solved Examples on Degree of a Polynomial<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/degree-of-polynomial#12-practice-problems-on-degree-of-a-polynomial>Practice Problems on Degree of a Polynomial<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/degree-of-polynomial#13-frequently-asked-questions-about-the-degree-of-a-polynomial>Frequently Asked Questions about the Degree of a Polynomial<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-degree-of-a-polynomial\">What Is the Degree of a Polynomial?<\/h2>\n\n\n\n<p><strong>The degree of a polynomial is the highest degree among the degrees of the individual terms present in the polynomial.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the polynomial is in a single variable, the degree of a polynomial is the highest <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/exponent\">exponent<\/a> of the variable with a non-zero coefficient.&nbsp;<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the polynomial has more than one variable, then we calculate the degree of each term separately and the highest degree among them represents the degree of the given polynomial.<\/li>\n<\/ul>\n\n\n\n<p>The standard form of degree polynomial is given by&nbsp;<\/p>\n\n\n\n<p>$p(x) = a_{n}x^{n} + a_{n\\;\u2013\\;1}x^{n\\;\u2013\\;1} + a_{n\\;\u2013\\;2}x^{n\\;\u2013\\;2} + &#8230; + a_{1}x^{1} + a_{0}$<\/p>\n\n\n\n<p>where, $a_{n} \\neq 0$.\u00a0<\/p>\n\n\n\n<p>Here, the degree of the polynomial p(x) is n, because \u201cn\u201d is the highest power of variable \u201cx.\u201d<\/p>\n\n\n\n<p>We can represent the degree of a polynomial p(x) by Deg(p(x)).<\/p>\n\n\n\n<p><strong>Example:<\/strong> $p(x) = 9x^{4} + 2x^{3} \\;\u2013\\; 5x^{2} + 4x + 1$<\/p>\n\n\n\n<p>The degree of the polynomial is 4 because the highest power of the variable x is 4.<\/p>\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\/draw-angles-in-multiples-of-10-degrees\" 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\/geo_meas_draw_angle_1_pt.png\" alt=\"Draw Angles in Multiples of 10 Degrees 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\">Draw Angles in Multiples of 10 Degrees 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\/draw-angles-nearest-5-and-1-degrees\" 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\/geo_meas_draw_angle_2_pt.png\" alt=\"Draw Angles Nearest 5 and 1 Degrees 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\">Draw Angles Nearest 5 and 1 Degrees 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\/measure-the-angles-in-multiples-of-10-degrees\" 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\/geo_meas_measure_angle_1_pt.png\" alt=\"Measure the Angles in Multiples of 10 Degrees 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\">Measure the Angles in Multiples of 10 Degrees 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-definition\">Degree of a Polynomial: Definition<\/h2>\n\n\n\n<p>The degree of a polynomial is the highest power of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/variable\">variable<\/a> in the polynomial expression with a non-zero coefficient. The degree of a polynomial can also be defined as the greatest number among the degrees of the individual terms (monomials) with non-zero coefficients.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-degree-of-a-polynomial-with-one-variable\">Degree of a Polynomial with One Variable<\/h2>\n\n\n\n<p>For a polynomial in one variable, the highest power of the variable in a polynomial is the degree of the polynomial. It is the highest exponent value of the variable in the given polynomial.<\/p>\n\n\n\n<p><strong>Examples:<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Deg $(x^{5} + 4x^{2} + 3x) = 5$<\/li>\n\n\n\n<li>Deg $(x) = 1$<\/li>\n\n\n\n<li>Deg $(x^{3} + 2x + 1) = 3$<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-degree-of-a-polynomial-with-more-than-one-variable\">Degree of a Polynomial with More than One Variable<\/h2>\n\n\n\n<p>When finding the degree of a polynomial when a polynomial has more than one variable, we first find the degree of each individual term by adding the exponents of each variable present in the term.&nbsp;<\/p>\n\n\n\n<p>In other words, we find the degree of each monomial present in the polynomial. Finally, the degree of the polynomial is the largest degree among the degrees of individual terms.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"459\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/finding-the-degree-of-a-polynomial-with-more-than-one-variable.png\" alt=\"Finding the degree of a polynomial with more than one variable\" class=\"wp-image-32571\" title=\"Finding the degree of a polynomial with more than one variable\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/finding-the-degree-of-a-polynomial-with-more-than-one-variable.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/finding-the-degree-of-a-polynomial-with-more-than-one-variable-300x222.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Example<\/strong>: $5x^{5} + 4xy^{2} + 3xy$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The degree of the term $5x^{5}$ is 5.<\/li>\n\n\n\n<li>The degree of $4xy^{2}$ is 3 (Sum of exponents $= 1 + 2 = 3)$.<\/li>\n\n\n\n<li>The term 3xy has a degree of 2 (Sum of exponents $= 1 + 1 = 2)$.<\/li>\n<\/ul>\n\n\n\n<p>The highest degree is 5. Thus, the degree of polynomial is 5.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-how-to-find-the-degree-of-a-polynomial\">How to Find the Degree of a Polynomial<\/h2>\n\n\n\n<p>Before finding the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/degree-angle-measure\">degree<\/a>, first combine all the like terms (terms having the same variables and the same exponents). This way we ensure that no two terms have the same degree.&nbsp;<\/p>\n\n\n\n<p><strong>Finding Degree of a Polynomial with Only One Variable<\/strong><\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Write the polynomial expression in standard form. Standard form of a polynomial refers to arranging the terms in descending order of their degrees.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Identify the term with the highest power of the variable. This term must have a non-zero coefficient. In the standard form, the highest power term is the leading term.<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>The degree of the polynomial is equal to the degree of the highest power term.<\/p>\n\n\n\n<p><strong>Example 1:<\/strong> $7x^{3} + 5x^{2} \\;\u2013\\; 3x \\;\u2013\\; 4x^{3}\u00a0 + 2 \\;\u2013\\; 3x^{3}$<\/p>\n\n\n\n<p>Adding the like terms together, we get<\/p>\n\n\n\n<p>$p(x) = (7x^{3} \\;\u2013\\;\u00a04x^{3} \\;\u2013\\; 3x^{3})+ 5x^{2} \\;\u2013\\; 3x + 2$.\u00a0<\/p>\n\n\n\n<p>$p(x) = 5x^{2} \\;\u2013\\; 3x + 2$ \u2026the term $x^{3}$ vanishes due to the 0 coefficient.<\/p>\n\n\n\n<p>This expression is already in standard form.<\/p>\n\n\n\n<p>Here, the term with the highest power of x is $5x^{2}$.<\/p>\n\n\n\n<p>Hence, the degree of the polynomial is 2.<\/p>\n\n\n\n<p><strong>Example 2:<\/strong> $6x^{2} + 5x^{4} \\;\u2013\\; 3x^{3} \\;\u2013\\; x + 4$<\/p>\n\n\n\n<p>Rearrange the terms in descending order of their degrees.<\/p>\n\n\n\n<p>$x^{4} \\;\u2013\\; 3x^{3} + 6x^{2} \\;\u2013\\; x + 4$<\/p>\n\n\n\n<p>Here, the term with the highest power of x is $x^{4}$.<\/p>\n\n\n\n<p>Hence, the degree of the polynomial is 4.<\/p>\n\n\n\n<p><strong>Finding Degree of a Polynomial with More than One Variable<\/strong><\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Identify each term.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Find the degree of each term. To find the degree of a term, add the exponents of variables present.<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Compare the degrees of individual terms. The highest degree among them is the degree of the polynomial.<\/p>\n\n\n\n<p><strong>Example: <\/strong>$ab^{6}\\;\u2212\\; a^{4}b^{8} + ab$<\/p>\n\n\n\n<p>Degree of<strong> <\/strong>$ab^{6} = 1 + 6 = 7$<\/p>\n\n\n\n<p>Degree of $a^{4}\\;b^{8} = 4 + 8 = 12$<\/p>\n\n\n\n<p>Degree of $ab = 1 + 1 = 2$<\/p>\n\n\n\n<p>Highest degree $= 12$<\/p>\n\n\n\n<p>Degree of the given polynomial $= 12$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-degree-of-zero-polynomial\">Degree of Zero Polynomial<\/h2>\n\n\n\n<p>The zero polynomial is usually denoted by 0 or by the expression $p(x) = 0$. The zero polynomial has no non-zero terms. A polynomial with zero coefficients is called a zero polynomial. It has no terms with non-zero coefficients.<\/p>\n\n\n\n<p>The degree of a zero polynomial is considered to be undefined. Why so? We can rewrite $p(x) = 0$ as $p(x) = 0. x^{n}$.\u00a0<\/p>\n\n\n\n<p>$p(x) = 0. x^{1}$<\/p>\n\n\n\n<p>$p(x) = 0. x^{2}$<\/p>\n\n\n\n<p>$p(x) = 0. x^{3}$<\/p>\n\n\n\n<p>\u2026<\/p>\n\n\n\n<p>So, the degree of a zero polynomial is not defined. It has no degree.&nbsp;<\/p>\n\n\n\n<p><strong>Note: <\/strong>In mathematical practice, sometimes the degree of the zero polynomial is taken to be \u2212\u221e and sometimes it is considered undefined.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-degree-of-constant-polynomial\">Degree of Constant Polynomial<\/h2>\n\n\n\n<p>A constant polynomial has no variable term. It only has a constant term. Thus, the degree of a constant polynomial is 0.<\/p>\n\n\n\n<p>The constant polynomial $p(x) = c$ where c is a non-zero constant has degree 0. It can be written as $p(x) = kx^{0}$.<\/p>\n\n\n\n<p>This is because there is no variable term present, and the highest power of x is 0, and $x^{0} = 1$.\u00a0<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-degree-of-a-polynomial-applications\">Degree of a Polynomial: Applications<\/h2>\n\n\n\n<p>The concept of the degree of a polynomial has important applications in mathematics, science, and engineering. A few examples of how the degree of a polynomial can be used are listed below:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To figure out the maximum possible roots or solutions a function can have.<\/li>\n\n\n\n<li>To figure out how many times a function crosses the x-axis on a graph.<\/li>\n\n\n\n<li>We find the degree of each term to see if the polynomial expression is homogeneous. For example, in the polynomial $6x^{3} + 12xy^{2} + 2y^{3}$, all of the terms have a degree of 3. So it is a degree 3 homogeneous polynomial.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-classification-of-polynomials-based-on-degree\">Classification of Polynomials Based on Degree<\/h2>\n\n\n\n<p>A specific name has been given to each of the polynomials in accordance with their degree. Let&#8217;s classify polynomials according to their degree along with their example.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Degree<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Name of Polynomials<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Examples<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>Constant Polynomial<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">$p(x) = 7$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>Linear Polynomial<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">$p(x) = x + 2$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>Quadratic Polynomial<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">$p(x) = x^{2} \\;\u2013\\; 3x + 2$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>Cubic Polynomial<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">$p(x) = 5x^{3} + 6x^{2} + 3x + 2$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>Bi-quadratic Polynomial<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">$p(x) = x^{4}\u00a0+ 2x^{3} + x^{2} \\;\u2013\\; 1$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-facts-about-degree-of-a-polynomial\">Facts about Degree of a Polynomial<\/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>The degree of a polynomial is always a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\">whole number<\/a>. The degree of a polynomial is always a non-negative integer. This means that the degree is either zero or a positive integer.<\/li>\n\n\n\n<li>Degree of a polynomial can never be a negative or a fractional number.<\/li>\n\n\n\n<li>A monic polynomial is a non-zero polynomial in a single variable in which the leading coefficient&nbsp; is equal to 1.<\/li>\n\n\n\n<li>A polynomial of degree n can have a maximum n number of zeros.<\/li>\n\n\n\n<li>A polynomial whose non-zero terms all have the same degree is called a homogeneous polynomial.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the degree of polynomial and the method to find the degree of the polynomial. Let\u2019s solve a few examples and practice problems.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-solved-examples-on-degree-of-a-polynomial\">Solved Examples on Degree of a Polynomial<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Determine the degree of the polynomial <\/strong>$p(x) = 10x^{4} + 8x^{2} \\;\u2013\\; 15x + 18$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>$p(x) = 10x^{4} + 8x^{2} \\;\u2013\\; 15x + 18$<\/p>\n\n\n\n<p>The polynomial is written in the standard form.<\/p>\n\n\n\n<p>In this case, the highest power of x is 4.<\/p>\n\n\n\n<p>Thus, the degree of p(x) is 4.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li><strong>Find the degree and leading coefficient of the polynomial <\/strong>$g(x) = 9x^{5} + 5x^{3} + 7x \\;\u2013\\; 1$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>$p(x) = 9x^{5} + 5x^{3} + 7x \\;\u2013\\; 1$<\/p>\n\n\n\n<p>In this case, the highest power of x is 5.&nbsp;<\/p>\n\n\n\n<p>Thus, the degree of g(x) is 5.&nbsp;<\/p>\n\n\n\n<p>Leading term $= 9x^{5}$<\/p>\n\n\n\n<p>Leading coefficient $= 9$<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li><strong>Find the degree of the polynomial <\/strong>$p(x) =3x^{3}y \\;\u2013\\; 2x^{2} + 7x^{2}y^{3} \\;\u2013\\; 99$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>$p(x) =3x^{3}y \\;\u2013\\; 2x^{2} + 7x^{2}y^{3} \\;\u2013\\; 99$<\/p>\n\n\n\n<p>The polynomial has more than 2 variables.<\/p>\n\n\n\n<p>In this case, we first find the degree of each term by adding the exponents.<\/p>\n\n\n\n<p>Degree of $3x^{3}y = 3 + 1 = 4$<\/p>\n\n\n\n<p>Degree of $2x^{2} = 2$<\/p>\n\n\n\n<p>Degree of $7x^{2}y^{3} = 2 + 3 = 5$<\/p>\n\n\n\n<p>Degree of $99 = 0$<\/p>\n\n\n\n<p>Highest degree $= 5$<\/p>\n\n\n\n<p>Thus, the degree of $p(x) =3x^{3}y \\;\u2013\\; 2x^{2} + 7x^{2}y^{3} \\;\u2013\\; 99$ is 5.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"4\">\n<li><strong>The length and width of a rectangular garden are $<\/strong>(2x + 3)$<strong> and <\/strong>$(x \\;\u2013\\; 2)$<strong> respectively. What is the degree of the polynomial that represents the area of the garden?<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The area of the garden is given by the product of the length and the width.<\/p>\n\n\n\n<p>Therefore, area of rectangular garden $= (2x + 2)(x \\;\u2013\\; 2)$<\/p>\n\n\n\n<p>$A(x) = 2x^{2} \\;\u2013\\; 4x + 2x \\;\u2013\\; 4$<\/p>\n\n\n\n<p>$A(x) = 2x^{2} \\;\u2013\\; 2x \\;\u2013\\; 4$<\/p>\n\n\n\n<p>Hence, the degree of the polynomial that represents the area of the garden is 2.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"5\">\n<li><strong>What is the degree of the polynomial <\/strong>$P(x, y) = 5x^{2}y^{2} \\;\u2013\\; 3xy^{2} + 5x \\;\u2013\\; 2y$<strong>?<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>In a polynomial with more than one variable, the degree can be determined by adding the exponents of each variable.<\/p>\n\n\n\n<p>$P(x, y) = 5x^{2}y^{2} \\;\u2013\\; 3xy^{2} + 5x \\;\u2013\\; 2y$<\/p>\n\n\n\n<p>The term with the highest degree is $5x^{2}\\;y^{2}$.\u00a0<\/p>\n\n\n\n<p>Degree of $5x^{2}\\;y^{2} = 2 + 2 = 4$.<\/p>\n\n\n\n<p>Therefore, the degree of the polynomial P(x, y) is 4.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-practice-problems-on-degree-of-a-polynomial\">Practice Problems on Degree of a Polynomial<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Degree of a Polynomial: Definition, Types, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the degree of the polynomial $p(x) = 2x^{2} + 9$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1<\/div><div class=\"spq_answer_block\" data-value=\"1\">2<\/div><div class=\"spq_answer_block\" data-value=\"2\">3<\/div><div class=\"spq_answer_block\" data-value=\"3\">4<\/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: 2<br\/>In $p(x) = 2x^{2} + 9$, the highest power of x is 2, so the degree of p(x) is 2.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The degree of the cubic polynomial is_______.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1<\/div><div class=\"spq_answer_block\" data-value=\"1\">2<\/div><div class=\"spq_answer_block\" data-value=\"2\">3<\/div><div class=\"spq_answer_block\" data-value=\"3\">4<\/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: 3<br\/>The degree of the cubic polynomial is 3.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the degree of the polynomial $g(x) = 8x^{4} + 4x^{3} + 5$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">8<\/div><div class=\"spq_answer_block\" data-value=\"1\">4<\/div><div class=\"spq_answer_block\" data-value=\"2\">5<\/div><div class=\"spq_answer_block\" data-value=\"3\">3<\/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: 4<br\/>In $g(x) = 8x^{4} + 4x^{3} + 5$, the highest power of x is 4, so the degree of h(x) is 4.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The polynomial with degree 2 is known as________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">linear<\/div><div class=\"spq_answer_block\" data-value=\"1\">biquadratic<\/div><div class=\"spq_answer_block\" data-value=\"2\">cubic<\/div><div class=\"spq_answer_block\" data-value=\"3\">quadratic<\/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: quadratic<br\/>The polynomial with degree 2 is known as a quadratic polynomial.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Which of the following is a linear polynomial?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$x^{2} + 1$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$x + \\frac{1}{x}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$1 \\;\u2013\\; x^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$2x + 4$<\/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: $2x + 4$<br\/>The polynomial with degree 1 is called a linear polynomial. It is in the form of $ax + b$.<br>\r\nOut of the given options, $2x + 4$ is a linear polynomial.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">6<\/span><h3 class=\"sqp_question_text\">What is the degree of the polynomial $g(x) = \\;\u2013\\;3$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0<\/div><div class=\"spq_answer_block\" data-value=\"1\">1<\/div><div class=\"spq_answer_block\" data-value=\"2\">2<\/div><div class=\"spq_answer_block\" data-value=\"3\">3<\/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: 0<br\/>$g(x) = \\;\u2013\\;3$ is a constant polynomial. Thus, the degree of $g(x) = \\;\u2013\\;3$ is 0.<\/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\": \"Degree of a Polynomial: Definition, Types, Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Degree of a Polynomial\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": 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           \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The degree of the cubic polynomial is_______.\",\n                    \"text\": \"The degree of the cubic polynomial is_______.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The degree of the cubic polynomial is 3.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The degree of the cubic polynomial is 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                  \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The polynomial with degree 2 is known as________.\",\n                    \"text\": \"The polynomial with degree 2 is known as________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The polynomial with degree 2 is known as a quadratic polynomial.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"linear\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The polynomial with degree 2 is known as a quadratic polynomial.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"biquadratic\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The polynomial with degree 2 is known as a quadratic polynomial.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"cubic\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The polynomial with degree 2 is known as a quadratic polynomial.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"quadratic\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The polynomial with degree 2 is known as a quadratic polynomial.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The polynomial with degree 2 is known as a quadratic polynomial.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is a linear polynomial?\",\n                    \"text\": \"Which of the following is a linear polynomial?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The polynomial with degree 1 is called a linear polynomial. It is in the form of $$ax + b$$.<br>\r\nOut of the given options, $$2x + 4$$ is a linear polynomial.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$x^{2} + 1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The polynomial with degree 1 is called a linear polynomial. It is in the form of $$ax + b$$.<br>\r\nOut of the given options, $$2x + 4$$ is a linear polynomial.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$x + \\\\frac{1}{x}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The polynomial with degree 1 is called a linear polynomial. It is in the form of $$ax + b$$.<br>\r\nOut of the given options, $$2x + 4$$ is a linear polynomial.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1 \\\\;\u2013\\\\; x^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The polynomial with degree 1 is called a linear polynomial. It is in the form of $$ax + b$$.<br>\r\nOut of the given options, $$2x + 4$$ is a linear polynomial.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$2x + 4$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The polynomial with degree 1 is called a linear polynomial. It is in the form of $$ax + b$$.<br>\r\nOut of the given options, $$2x + 4$$ is a linear polynomial.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The polynomial with degree 1 is called a linear polynomial. It is in the form of $$ax + b$$.<br>\r\nOut of the given options, $$2x + 4$$ is a linear polynomial.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the degree of the polynomial $$g(x) = \\\\;\u2013\\\\;3$$?\",\n                    \"text\": \"What is the degree of the polynomial $$g(x) = \\\\;\u2013\\\\;3$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$g(x) = \\\\;\u2013\\\\;3$$ is a constant polynomial. Thus, the degree of $$g(x) = \\\\;\u2013\\\\;3$$ is 0.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$g(x) = \\\\;\u2013\\\\;3$$ is a constant polynomial. Thus, the degree of $$g(x) = \\\\;\u2013\\\\;3$$ is 0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$g(x) = \\\\;\u2013\\\\;3$$ is a constant polynomial. Thus, the degree of $$g(x) = \\\\;\u2013\\\\;3$$ is 0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$g(x) = \\\\;\u2013\\\\;3$$ is a constant polynomial. Thus, the degree of $$g(x) = \\\\;\u2013\\\\;3$$ is 0.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$g(x) = \\\\;\u2013\\\\;3$$ is a constant polynomial. Thus, the degree of $$g(x) = \\\\;\u2013\\\\;3$$ is 0.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$g(x) = \\\\;\u2013\\\\;3$$ is a constant polynomial. Thus, the degree of $$g(x) = \\\\;\u2013\\\\;3$$ is 0.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"13-frequently-asked-questions-about-the-degree-of-a-polynomial\">Frequently Asked Questions about the Degree of a Polynomial<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\" 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-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\"><strong>What is a constant term in a polynomial?<\/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-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\">\n\n<p>A constant term in a polynomial is a term that contains no variable. It is a term in which the degree of the variable is 0.<\/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-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\"><strong>What is a leading coefficient in a polynomial?<\/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-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\">\n\n<p>The leading coefficient in a polynomial is the coefficient of the leading term (the term with the highest 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-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\"><strong>What is 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-2-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\">\n\n<p>A monomial is a polynomial with only one term. For example, $x,\\; 2x^{3},\\; y,\\; 5$, etc., are monomials.<\/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-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\"><strong>What is a binomial?<\/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-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\">\n\n<p>A binomial is a polynomial with two terms. Examples: $x + 1,\\; 2x \\;\u2013\\;5,\\; x^{2} \\;\u2013\\; 9$, etc.<\/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-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\"><strong>What is a trinomial?<\/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-fd9ee1bf-d21a-4fe8-a3b8-3615df07db85\">\n\n<p>A trinomial is a polynomial with three terms.<\/p>\n\n\n\n<p>Examples: $3x^{2} + 2x + 1, 2x^{3} \\;\u2013\\;x + 5, x + y + z$<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Degree of a Polynomial? The degree of a polynomial is the highest degree among the degrees of the individual terms present in the polynomial. The standard form of degree polynomial is given by&nbsp; $p(x) = a_{n}x^{n} + a_{n\\;\u2013\\;1}x^{n\\;\u2013\\;1} + a_{n\\;\u2013\\;2}x^{n\\;\u2013\\;2} + &#8230; + a_{1}x^{1} + a_{0}$ where, $a_{n} \\neq 0$.\u00a0 Here, the &#8230; <a title=\"Degree of a Polynomial: Definition, Types, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/degree-of-polynomial\" aria-label=\"More on Degree of a Polynomial: Definition, Types, Examples, Facts, 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-32492","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\/32492","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=32492"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32492\/revisions"}],"predecessor-version":[{"id":32584,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32492\/revisions\/32584"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=32492"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=32492"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=32492"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}