{"id":272347,"date":"2025-07-26T14:00:52","date_gmt":"2025-07-26T14:00:52","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=272347"},"modified":"2025-07-26T14:00:55","modified_gmt":"2025-07-26T14:00:55","slug":"new-tab-quizlet-live-quizlet-a-join-a-game-quizi","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/26\/new-tab-quizlet-live-quizlet-a-join-a-game-quizi\/","title":{"rendered":"New Tab Quizlet Live | Quizlet a Join a Game – Quizi."},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Of course. Here is the correct answer and a detailed explanation.<\/p>\n\n\n\n

Correct Answer:<\/strong> -24x\u00b3 + 18x\u00b2 – 3x – 9<\/p>\n\n\n\n

Explanation<\/h3>\n\n\n\n

The problem asks you to multiply two polynomials: (5x – 4x\u00b2 – 3) and (3 + 6x). The image correctly uses the grid method, also known as the box method, to organize this multiplication. This method ensures that every term in the first polynomial is multiplied by every term in the second one.<\/p>\n\n\n\n

The calculations within the grid are all correct:<\/p>\n\n\n\n

    \n
  • -4x\u00b2 times 3 = -12x\u00b2<\/li>\n\n\n\n
  • -4x\u00b2 times 6x = -24x\u00b3<\/li>\n\n\n\n
  • 5x times 3 = 15x<\/li>\n\n\n\n
  • 5x times 6x = 30x\u00b2<\/li>\n\n\n\n
  • -3 times 3 = -9<\/li>\n\n\n\n
  • -3 times 6x = -18x<\/li>\n<\/ul>\n\n\n\n

    The next crucial step is to combine all the terms from the boxes and simplify the expression by combining like terms. Like terms are terms that have the same variable raised to the same power.<\/p>\n\n\n\n

    First, write out all the products from the grid:
    -24x\u00b3 – 12x\u00b2 + 30x\u00b2 + 15x – 18x – 9<\/p>\n\n\n\n

    Now, group the like terms together:<\/p>\n\n\n\n

      \n
    1. Cubic terms (x\u00b3):<\/strong>\u00a0There is only one term with x\u00b3, which is -24x\u00b3.<\/li>\n\n\n\n
    2. Quadratic terms (x\u00b2):<\/strong>\u00a0There are two terms, -12x\u00b2 and +30x\u00b2. Combining them gives you 30x\u00b2 – 12x\u00b2 = 18x\u00b2.<\/li>\n\n\n\n
    3. Linear terms (x):<\/strong>\u00a0There are two terms, +15x and -18x. Combining them gives you 15x – 18x = -3x.<\/li>\n\n\n\n
    4. Constant terms:<\/strong>\u00a0There is only one constant term, which is -9.<\/li>\n<\/ol>\n\n\n\n

      Finally, write these simplified terms together in standard form, from the highest power of x to the lowest. This gives you the final answer.<\/p>\n\n\n\n

      -24x\u00b3 + 18x\u00b2 – 3x – 9<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      The Correct Answer and Explanation is: Of course. Here is the correct answer and a detailed explanation. Correct Answer: -24x\u00b3 + 18x\u00b2 – 3x – 9 Explanation The problem asks you to multiply two polynomials: (5x – 4x\u00b2 – 3) and (3 + 6x). The image correctly uses the grid method, also known as the box […]<\/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-272347","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272347","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=272347"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272347\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=272347"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=272347"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=272347"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}