{"id":271692,"date":"2025-07-26T06:15:57","date_gmt":"2025-07-26T06:15:57","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=271692"},"modified":"2025-07-26T06:16:00","modified_gmt":"2025-07-26T06:16:00","slug":"factor-18u-14","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/26\/factor-18u-14\/","title":{"rendered":"Factor 18u + 14"},"content":{"rendered":"\n<p>Factor 18u + 14<br>Write your answer as a product with a whole number greater than 1.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To factor the expression <strong>18u + 14<\/strong>, the first step is to identify the greatest common factor (GCF) of the two terms.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The two terms are <strong>18u<\/strong> and <strong>14<\/strong>.<\/li>\n\n\n\n<li>The numerical coefficients are <strong>18<\/strong> and <strong>14<\/strong>.<\/li>\n\n\n\n<li>To find the GCF of 18 and 14, list their factors:\n<ul class=\"wp-block-list\">\n<li>The factors of 18 are: 1, 2, 3, 6, 9, 18.<\/li>\n\n\n\n<li>The factors of 14 are: 1, 2, 7, 14.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>The largest common factor between 18 and 14 is <strong>2<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>Now, factor out the GCF (which is 2) from the expression: 18u+14=2(9u+7)18u + 14 = 2(9u + 7)<\/p>\n\n\n\n<p>Thus, the factored form of <strong>18u + 14<\/strong> is <strong>2(9u + 7)<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The process of factoring involves identifying the GCF of all terms in the expression.<\/li>\n\n\n\n<li>Once the GCF is found, it is factored out, and what remains in parentheses is the simplified form of the original expression.<\/li>\n\n\n\n<li>This method ensures that the expression is written as a product of a whole number greater than 1 (in this case, 2) and a binomial (in this case, 9u+79u + 7).<\/li>\n\n\n\n<li>This is the simplest and most efficient way to factor the expression, as the GCF is the largest number that divides both 18 and 14 evenly.<\/li>\n<\/ul>\n\n\n\n<p>Therefore, <strong>2(9u + 7)<\/strong> is the correct factorization of <strong>18u + 14<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Factor 18u + 14Write your answer as a product with a whole number greater than 1. The correct answer and explanation is: To factor the expression 18u + 14, the first step is to identify the greatest common factor (GCF) of the two terms. Now, factor out the GCF (which is 2) from the expression: [&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-271692","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271692","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=271692"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271692\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=271692"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=271692"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=271692"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}