{"id":30923,"date":"2023-06-20T09:32:03","date_gmt":"2023-06-20T09:32:03","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=30923"},"modified":"2023-11-16T05:06:37","modified_gmt":"2023-11-16T05:06:37","slug":"monomial-definition-degree-parts-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/monomial","title":{"rendered":"Monomial &#8211; Definition, Degree, Parts, 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-26d6f981-7791-460d-82d9-642bcbb03c8f\" 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\/monomial#0-what-is-a-monomial-in-math>What Is a Monomial in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/monomial#4-how-to-find-the-degree-of-a-monomial>How to Find the Degree of a Monomial<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/monomial#6-how-to-factor-a-monomial>How to Factor a Monomial<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/monomial#11-solved-examples-on-monomials>Solved Examples on Monomials<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/monomial#12-practice-problems-on-monomials>Practice Problems on Monomials<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/monomial#13-frequently-asked-questions-about-monomials>Frequently Asked Questions about Monomials<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-monomial-in-math\">What Is a Monomial in Math?<\/h2>\n\n\n\n<p><strong>A monomial is a polynomial that contains only a single non-zero term.&nbsp;<\/strong><\/p>\n\n\n\n<p>\u201cMono\u201d means one. When polynomials are classified on the basis of the number of terms, the polynomials with only a single term are called monomials. This single <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/term\">term<\/a> can be a number (a constant), a variable, or a product of multiple variables with a coefficient.&nbsp;<\/p>\n\n\n\n<p>The coefficient can be any real number. There won\u2019t be any operator present in a monomial.<\/p>\n\n\n\n<p>Note that the degree of a monomial need not be 1. The exponents of variables cannot be negative or fractional. The exponent of all <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/variable\">variables<\/a> must be a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\">whole number<\/a> (non-negative integer).<\/p>\n\n\n\n<p><strong>Monomial examples:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$5a^{2}$<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$\\;-\\;3pq$<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$\\frac{-1}{2}xy^{2}zpq$<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$4x^{2}y$<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$xyz$<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$-7\\;x^{4}y^{8}z^{3}$<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"1-monomial-definition\">Monomial: Definition<\/h2>\n\n\n\n<p><strong>A monomial can be defined as a polynomial with a single non-zero term.<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-parts-of-a-monomial\">Parts of a Monomial<\/h2>\n\n\n\n<p>Different parts of a monomial are as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Variable: the letters present in the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/expression\">expression<\/a><\/li>\n\n\n\n<li>Coefficient: the number attached with the variable&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/degree-angle-measure\" title=\"\">Degree<\/a>: the sum of exponents of all the variables present<\/li>\n\n\n\n<li>Literal part: the alphabets and their <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/exponent\">exponents<\/a>&nbsp;<\/li>\n<\/ul>\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>Monomial<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Variable<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Degree<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Literal part<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">$5x^{3}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">x<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\">$x^{3}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$-6x^{2}yz^{3}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">x,y,z<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><td class=\"has-text-align-center\" data-align=\"center\">$x^{2}yz^{3}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">$9xy^{7}$<\/td><td class=\"has-text-align-center\" data-align=\"center\">x,y<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><td class=\"has-text-align-center\" data-align=\"center\">$xy^{7}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><td class=\"has-text-align-center\" data-align=\"center\">No variable<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">&#8211;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-find-monomials\">How to Find Monomials<\/h2>\n\n\n\n<p>You can identify a monomial easily using the following points:&nbsp;<\/p>\n\n\n\n<p>1. The expression must have a single term, which implies that the combination of alphabets (variables) must not be separated by any operator.<\/p>\n\n\n\n<p>2. The exponents must always be positive (a whole number). The exponents cannot be fractions.<\/p>\n\n\n\n<p>For instance, $(2x + y), (3p \\;-\\; t), x^{\\frac{1}{2}}$ are not monomials.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-how-to-find-the-degree-of-a-monomial\">How to Find the Degree of a Monomial<\/h2>\n\n\n\n<p>The degree of a polynomial will always be a positive integer owing to the rule of monomials to contain positive exponents. The power of variables is summed up to calculate the degree of the polynomial as depicted in the diagram. Given below are the steps to finding the degree of a monomial:<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Identify the variables and their exponents.&nbsp;<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Add all the exponents.<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>The sum represents the degree.&nbsp;<\/p>\n\n\n\n<p><strong>Example:<\/strong> $3p^{7}q^{2}s$ can be written as&nbsp; $4p^{7}q^{2}s^{1}$.<\/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\/degree-of-a-monomial.png\" alt=\"Degree of a monomial\" class=\"wp-image-36007\" title=\"Degree of a monomial\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/degree-of-a-monomial.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/degree-of-a-monomial-300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-factoring-monomials\">Factoring Monomials<\/h2>\n\n\n\n<p>Factoring monomials simply means writing the coefficients and the variables in the factored form. In other words, monomial factorization is a way of expressing a given monomial as a product of two or more monomials.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-how-to-factor-a-monomial\">How to Factor a Monomial<\/h2>\n\n\n\n<p>To factor monomials, we factor the coefficients and the literal part (variables) separately. Factorization refers to separating the terms into constituents whose product is the original term.&nbsp;<\/p>\n\n\n\n<p><strong>Example 1:<\/strong>&nbsp; $4p^{2}q^{3}s = 2 \\times 2 \\times p \\times p \\times q \\times q \\times q \\times s$&nbsp;<\/p>\n\n\n\n<p><strong>Example 2: <\/strong>$15xy^{2}z^{3} = 3 \\times 5 \\times x \\times y \\times y \\times z \\times z \\times z$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-monomials-binomials-trinomials\">Monomials, Binomials, Trinomials<\/h2>\n\n\n\n<p>The polynomial can have only a finite number of terms. We can classify polynomials based on the number of terms. A single-term polynomial is called a monomial. Polynomials with two terms are called binomials. Polynomials with three terms are called trinomials.&nbsp;<\/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-left\" data-align=\"left\"><strong>Monomial<\/strong><\/th><th><strong>Binomial<\/strong><\/th><th><strong>Trinomial<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">A polynomial with only one term.<\/td><td>A polynomial with two terms.<\/td><td>A polynomial with three terms.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">$4p^{5}q^{3}s$<\/td><td>$4p^{5}q^{3} + s$<\/td><td>$4p^{5}\\;-\\;q^{3} + s$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-operations-on-monomials\">Operations on Monomials<\/h2>\n\n\n\n<p>Addition of two monomials having the same literal part will result in a monomial.<\/p>\n\n\n\n<p><strong>Example:<\/strong><strong> <\/strong>&nbsp;$4p^{5}q^{3}s + 10p^{5}q^{3}s = &nbsp; 14p^{5}q^{3}s$<\/p>\n\n\n\n<p>Subtraction of two monomials having the same literal part will result in a monomial.<\/p>\n\n\n\n<p><strong>Example:<\/strong>&nbsp; $4p^{5}q^{3}s \\;-\\; 10p^{5}q^{3}s = &nbsp;\\;-\\;6p^{5}q^{3}s$<\/p>\n\n\n\n<p>Multiplication of two monomials is always a monomial.<\/p>\n\n\n\n<p><strong>Example:<\/strong><strong> <\/strong>&nbsp;$4p^{5}q^{3}s \\times 10p^{5}q^{3} s = &nbsp; 40p^{10}q^{6}s^{2}$<\/p>\n\n\n\n<p>To divide two monomials having the same variables, we use the laws of indices (rules of exponents).<\/p>\n\n\n\n<p><strong>Example: <\/strong>$\\frac{40p^{10}q^{6}s^{2}}{4p^{5}q^{3} s} = 10p^{5}q^{3} s$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-facts-about-monomials\">Facts about Monomials<\/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 product of two monomials will always be a monomial.<\/li>\n\n\n\n<li>If the coefficient of a monomial is not present, it is 1. Examples:&nbsp; xyz, x, pq<\/li>\n\n\n\n<li>A constant polynomial is a monomial with degree zero.<\/li>\n\n\n\n<li>The coefficient of a monomial can be any real number. It can be negative or fractional, but not its exponent.<\/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>Monomials are polynomials categorized based on terms. They contain one term with varying degrees calculated by summing up the exponents. They can comprise single or multiple variables. The factorization and other operations of monomials are performed similarly to general mathematics.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-solved-examples-on-monomials\">Solved Examples on Monomials<\/h2>\n\n\n\n<p><strong>1. State the parts of a monomial&nbsp; <\/strong>$10a^{2}b^{2}$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>The parts of a monomial are coefficient, variable, degree and literal part.&nbsp;<\/p>\n\n\n\n<p>Coefficient: 10<\/p>\n\n\n\n<p>Literal part: $a^{2}b^{2}$<\/p>\n\n\n\n<p>Variable: a, b<\/p>\n\n\n\n<p>Degree: $2 + 2 = 4$<\/p>\n\n\n\n<p><strong>2. Identify the monomials, binomials, and trinomials from the following polynomials.<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>$x^{2}y$<\/li>\n\n\n\n<li>$a^{2} + b^{2}$&nbsp;<\/li>\n\n\n\n<li>$p^{3}q^{2} \\;-\\; s^{2}t^{2}$&nbsp;<\/li>\n\n\n\n<li>$a^{2} + b^{2} + 2ab$<\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Monomial: $x^{2}y$<\/p>\n\n\n\n<p>Binomials: $a^{2} + b^{2} ,&nbsp; p^{3}q^{2} \\;-\\; s^{2}t^{2}$<\/p>\n\n\n\n<p>Trinomial:&nbsp; $a^{2} + b^{2} + 2ab$<\/p>\n\n\n\n<p><strong>3. What is the degree of the given monomials?&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>i) <\/strong>$5x^{3}$&nbsp;<\/p>\n\n\n\n<p><strong>ii) <\/strong>$x^{2}y$<\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>i) Polynomial $= 5x^{3}$<\/p>\n\n\n\n<p>Degree $= 3$<\/p>\n\n\n\n<p>ii) Polynomial $= x^{2}y$<\/p>\n\n\n\n<p>Degree $= 2 + 1 = 3$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-practice-problems-on-monomials\">Practice Problems on Monomials<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Monomial - Definition, Degree, Parts, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which is the correct factorization of monomial $3x^{3}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$3 \\times x \\times x \\times x$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$1 \\times 3$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$x \\times x \\times x$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$3 \\times x$<\/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: $3 \\times x \\times x \\times x$<br\/>$3x^{3} = 3 \\times x \\times x \\times x$<\/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\">What is the degree of monomial $39x^{3}yz$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3<\/div><div class=\"spq_answer_block\" data-value=\"1\">39<\/div><div class=\"spq_answer_block\" data-value=\"2\">5<\/div><div class=\"spq_answer_block\" data-value=\"3\">2<\/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: 5<br\/>Degree of monomial $39x^{3}yz = 3 + 1 + 1 = 5$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Identify a monomial.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$19x^{4}yz$<\/div><div class=\"spq_answer_block\" data-value=\"1\">3xyz<\/div><div class=\"spq_answer_block\" data-value=\"2\">6<\/div><div class=\"spq_answer_block\" data-value=\"3\">All of the above<\/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: All of the above<br\/>Monomials have a single term, which can be a number or a variable (or multiple variables) with coefficients.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">A monomial can have<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">a variable with negative coefficient<\/div><div class=\"spq_answer_block\" data-value=\"1\">a variable with negative exponent<\/div><div class=\"spq_answer_block\" data-value=\"2\">a variable with fractional exponent<\/div><div class=\"spq_answer_block\" data-value=\"3\">All of the above<\/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: a variable with negative coefficient<br\/>A variable in a monomial cannot have a fractional or negative exponent.<\/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\": \"Monomial - Definition, Degree, Parts, Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Monomial\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple 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a monomial.\",\n                    \"text\": \"Identify a monomial.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Monomials have a single term, which can be a number or a variable (or multiple variables) with coefficients.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$19x^{4}yz$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Monomials have a single term, which can be a number or a variable (or multiple variables) with coefficients.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3xyz\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Monomials have a single term, which can be a number or a variable (or multiple variables) with coefficients.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Monomials have a single term, which can be a number or a variable (or multiple variables) with coefficients.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"All of the above\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Monomials have a single term, which can be a number or a variable (or multiple variables) with coefficients.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Monomials have a single term, which can be a number or a variable (or multiple variables) with coefficients.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A monomial can have\",\n                    \"text\": \"A monomial can have\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A variable in a monomial cannot have a fractional or negative exponent.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"a variable with negative exponent\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A variable in a monomial cannot have a fractional or negative exponent.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"a variable with fractional exponent\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A variable in a monomial cannot have a fractional or negative exponent.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"All of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A variable in a monomial cannot have a fractional or negative exponent.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"a variable with negative coefficient\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A variable in a monomial cannot have a fractional or negative exponent.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A variable in a monomial cannot have a fractional or negative exponent.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"13-frequently-asked-questions-about-monomials\">Frequently Asked Questions about Monomials<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-0f777d08-e3ed-46e4-901e-942e53a1f292\" 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-0-0f777d08-e3ed-46e4-901e-942e53a1f292\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0f777d08-e3ed-46e4-901e-942e53a1f292\"><strong>What are the rules of 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-0-0f777d08-e3ed-46e4-901e-942e53a1f292\">\n\n<p>There is a single rule for monomials: they must be raised only to positive integers.<\/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-1-0f777d08-e3ed-46e4-901e-942e53a1f292\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0f777d08-e3ed-46e4-901e-942e53a1f292\"><strong>Can a monomial be negative?<\/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-1-0f777d08-e3ed-46e4-901e-942e53a1f292\">\n\n<p>The coefficient of a monomial can be negative, but its exponent cannot be negative.<\/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-2-0f777d08-e3ed-46e4-901e-942e53a1f292\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0f777d08-e3ed-46e4-901e-942e53a1f292\"><strong>What happens to exponents while dividing and multiplying the 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-2-0f777d08-e3ed-46e4-901e-942e53a1f292\">\n\n<p>When multiplying monomials with a single variable, we add the exponents.&nbsp;<\/p>\n\n\n\n<p>When dividing monomials with a single variable, we subtract the exponent in the denominator from the exponent value of the numerator.<\/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-3-0f777d08-e3ed-46e4-901e-942e53a1f292\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-0f777d08-e3ed-46e4-901e-942e53a1f292\"><strong>Is a constant 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-3-0f777d08-e3ed-46e4-901e-942e53a1f292\">\n\n<p>Yes, every constant polynomial is a monomial.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Monomial in Math? A monomial is a polynomial that contains only a single non-zero term.&nbsp; \u201cMono\u201d means one. When polynomials are classified on the basis of the number of terms, the polynomials with only a single term are called monomials. This single term can be a number (a constant), a variable, or &#8230; <a title=\"Monomial &#8211; Definition, Degree, Parts, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/monomial\" aria-label=\"More on Monomial &#8211; Definition, Degree, Parts, 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-30923","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\/30923","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=30923"}],"version-history":[{"count":22,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30923\/revisions"}],"predecessor-version":[{"id":39870,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30923\/revisions\/39870"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=30923"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=30923"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=30923"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}