{"id":244098,"date":"2025-07-04T18:51:46","date_gmt":"2025-07-04T18:51:46","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=244098"},"modified":"2025-07-04T18:51:48","modified_gmt":"2025-07-04T18:51:48","slug":"which-is-true-about-the-polynomial-8m3-11m","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/which-is-true-about-the-polynomial-8m3-11m\/","title":{"rendered":"Which is true about the polynomial -8m^3 + 11m"},"content":{"rendered":"\n<p>Which is true about the polynomial -8m^3 + 11m? a) It is a binomial with a degree of 2. b) It is a binomial with a degree of 3. c) It is a trinomial with a degree of 2. d) It is a trinomial with a degree of 3.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is <strong>b) It is a binomial with a degree of 3.<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Polynomial Structure<\/strong>:<br>A polynomial is an algebraic expression consisting of terms that are either constants or variables raised to non-negative integer exponents. In this case, the expression given is: \u22128m3+11m-8m^3 + 11m\u22128m3+11m This has two terms:<ul><li>\u22128m3-8m^3\u22128m3 (term with degree 3)<\/li><li>+11m+11m+11m (term with degree 1)<\/li><\/ul>The two terms in the expression indicate that it is a <strong>binomial<\/strong> (a polynomial with exactly two terms).<\/li>\n\n\n\n<li><strong>Degree of the Polynomial<\/strong>:<br>The degree of a polynomial is determined by the highest degree of any term within the polynomial. In this case, the term \u22128m3-8m^3\u22128m3 has the highest exponent (3), so the degree of the entire polynomial is <strong>3<\/strong>.<\/li>\n\n\n\n<li><strong>Review of the Options<\/strong>:\n<ul class=\"wp-block-list\">\n<li><strong>a) It is a binomial with a degree of 2<\/strong>: Incorrect, because the degree is 3, not 2.<\/li>\n\n\n\n<li><strong>b) It is a binomial with a degree of 3<\/strong>: Correct, because the polynomial has two terms, and the highest exponent is 3.<\/li>\n\n\n\n<li><strong>c) It is a trinomial with a degree of 2<\/strong>: Incorrect, because it is a binomial (not a trinomial), and the degree is 3, not 2.<\/li>\n\n\n\n<li><strong>d) It is a trinomial with a degree of 3<\/strong>: Incorrect, because it has two terms (not three), making it a binomial.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>Thus, the correct answer is <strong>b) It is a binomial with a degree of 3<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-382.jpeg\" alt=\"\" class=\"wp-image-244102\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Which is true about the polynomial -8m^3 + 11m? a) It is a binomial with a degree of 2. b) It is a binomial with a degree of 3. c) It is a trinomial with a degree of 2. d) It is a trinomial with a degree of 3. The Correct Answer and Explanation is: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-244098","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244098","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=244098"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244098\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244098"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244098"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244098"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}