{"id":272919,"date":"2025-07-27T07:57:48","date_gmt":"2025-07-27T07:57:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=272919"},"modified":"2025-07-27T07:57:50","modified_gmt":"2025-07-27T07:57:50","slug":"factor-6p-9q","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/27\/factor-6p-9q\/","title":{"rendered":"Factor 6p + 9q"},"content":{"rendered":"\n<p>Factor 6p + 9q.<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>The expression 6p+9q6p + 9q can be factored by finding the greatest common factor (GCF) of the two terms. To do this, we first identify the factors of each term:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The factors of 6 are 1, 2, 3, and 6.<\/li>\n\n\n\n<li>The factors of 9 are 1, 3, and 9.<\/li>\n<\/ul>\n\n\n\n<p>The greatest common factor of 6 and 9 is 3, because 3 is the largest number that divides both 6 and 9 evenly.<\/p>\n\n\n\n<p>Next, we factor out the GCF (3) from the expression: 6p+9q=3(2p+3q)6p + 9q = 3(2p + 3q)<\/p>\n\n\n\n<p>Now, the expression is written as a product of 3 and 2p+3q2p + 3q. This is the fully factored form of the original expression.<\/p>\n\n\n\n<p>In the factored form 3(2p+3q)3(2p + 3q), 3 is the common factor that we factored out from both terms. The expression 2p+3q2p + 3q cannot be factored further because the terms inside the parentheses do not share any common factors.<\/p>\n\n\n\n<p>To verify the factorization, we can distribute the 3 back into the parentheses: 3(2p+3q)=3\u00d72p+3\u00d73q=6p+9q3(2p + 3q) = 3 \\times 2p + 3 \\times 3q = 6p + 9q<\/p>\n\n\n\n<p>This confirms that the factorization is correct. Therefore, the factored form of 6p+9q6p + 9q is: 3(2p+3q)3(2p + 3q)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Factor 6p + 9q.Write your answer as a product with a whole number greater than 1. The correct answer and explanation is: The expression 6p+9q6p + 9q can be factored by finding the greatest common factor (GCF) of the two terms. To do this, we first identify the factors of each term: The greatest common [&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-272919","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272919","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=272919"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272919\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=272919"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=272919"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=272919"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}