Correct Answer:<\/strong> Explanation<\/strong> This expression can be factored by finding two numbers that multiply to the constant term, \u22126-6\u22126, and add to the coefficient of the linear term, \u22125-5\u22125.<\/p>\n\n\n\n The process begins by identifying the coefficients:<\/p>\n\n\n\n Now, the goal is to find two integers that satisfy two conditions:<\/p>\n\n\n\n Examining pairs of factors for \u22126-6\u22126:<\/p>\n\n\n\n Only the pair 111 and \u22126-6\u22126 fits both conditions. These values become the constants in the binomial factors.<\/p>\n\n\n\n Thus, the expression factors as:(x+1)(x\u22126)(x + 1)(x – 6)(x+1)(x\u22126)<\/p>\n\n\n\n To verify correctness, expansion of the binomials can be performed:(x+1)(x\u22126)=x2\u22126x+x\u22126=x2\u22125x\u22126(x + 1)(x – 6) = x^2 – 6x + x – 6 = x^2 – 5x – 6(x+1)(x\u22126)=x2\u22126x+x\u22126=x2\u22125x\u22126<\/p>\n\n\n\n This confirms that the original quadratic is correctly factored.<\/p>\n\n\n\n Factoring quadratics aids in solving equations, simplifying expressions, and graphing parabolas. The roots of this expression are x=6x = 6x=6 and x=\u22121x = -1x=\u22121, found by setting each factor equal to zero.<\/p>\n\n\n\n Factor x2 – 5x – 6. The Correct Answer and Explanation is: Correct Answer:The expression x2\u22125x\u22126x^2 – 5x – 6×2\u22125x\u22126 factors to:(x\u22126)(x+1)(x – 6)(x + 1)(x\u22126)(x+1) ExplanationThe given quadratic expression is in standard form:x2\u22125x\u22126x^2 – 5x – 6×2\u22125x\u22126 This expression can be factored by finding two numbers that multiply to the constant term, \u22126-6\u22126, and […]<\/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-236175","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/236175","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=236175"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/236175\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=236175"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=236175"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=236175"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
The expression x2\u22125x\u22126x^2 – 5x – 6×2\u22125x\u22126 factors to:(x\u22126)(x+1)(x – 6)(x + 1)(x\u22126)(x+1)<\/p>\n\n\n\n
The given quadratic expression is in standard form:x2\u22125x\u22126x^2 – 5x – 6×2\u22125x\u22126<\/p>\n\n\n\n\n
\n
\n
![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-681.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"