{"id":226135,"date":"2025-06-04T21:30:53","date_gmt":"2025-06-04T21:30:53","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226135"},"modified":"2025-06-04T21:30:55","modified_gmt":"2025-06-04T21:30:55","slug":"which-polynomial-lists-the-powers-in-descending-order","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/04\/which-polynomial-lists-the-powers-in-descending-order\/","title":{"rendered":"Which polynomial lists the powers in descending order"},"content":{"rendered":"\n

Which polynomial lists the powers in descending order? A.
B.
C.
D.<\/p>\n\n\n\n

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

The correct answer is: B.<\/strong>
4×5+3×4\u2212x3\u22122×2+14x^5 + 3x^4 – x^3 – 2x^2 + 1<\/strong><\/p>\n\n\n\n

\n\n\n\n

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

To identify the polynomial that lists powers in descending order<\/strong>, we must check the exponents of xx in each term. Descending order<\/strong> means the exponents go from largest to smallest<\/strong> from left to right.<\/p>\n\n\n\n

Let\u2019s analyze the options:<\/p>\n\n\n\n

    \n
  • A.<\/strong> 4×5\u22122×2\u2212x3+3×4+14x^5 – 2x^2 – x^3 + 3x^4 + 1\n
      \n
    • Exponents appear in this sequence: 5, 2, 3, 4 \u2192 Not descending<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • B.<\/strong> 4×5+3×4\u2212x3\u22122×2+14x^5 + 3x^4 – x^3 – 2x^2 + 1\n
        \n
      • Exponents: 5, 4, 3, 2, 0 \u2192 Perfect descending order<\/strong> \u2705<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • C.<\/strong> 3×4\u2212x3+4×5\u22122×2+13x^4 – x^3 + 4x^5 – 2x^2 + 1\n
          \n
        • Exponents: 4, 3, 5, 2 \u2192 Not descending<\/strong>, as 5 comes after 3.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
        • D.<\/strong> 1\u22122×2\u2212x3+4×5+3×41 – 2x^2 – x^3 + 4x^5 + 3x^4\n
            \n
          • Exponents: 0, 2, 3, 5, 4 \u2192 Not descending<\/strong>, also disorganized.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n

            Why B is Correct<\/h3>\n\n\n\n

            Option B<\/strong> follows a clear, correct pattern:<\/p>\n\n\n\n

              \n
            • The first term is x5x^5 \u2014 the highest power.<\/li>\n\n\n\n
            • Followed by x4x^4, then x3x^3, and so on down to the constant (which is technically x0x^0).<\/li>\n<\/ul>\n\n\n\n

              This organization is standard in mathematics because it allows easier comparison, simplification, and operation of polynomials. When expressions are arranged in descending order, you can quickly:<\/p>\n\n\n\n

                \n
              • Identify the degree<\/strong> (the highest exponent).<\/li>\n\n\n\n
              • Compare polynomials.<\/li>\n\n\n\n
              • Perform operations like long division<\/strong> or factoring<\/strong> more efficiently.<\/li>\n<\/ul>\n\n\n\n

                Conclusion<\/h3>\n\n\n\n

                Option B<\/strong> is the only polynomial<\/strong> among the choices that correctly lists terms from highest to lowest power<\/strong> of xx. This ordering is essential for clarity and proper mathematical formatting, especially in algebra and calculus.<\/p>\n\n\n\n

                \u2705 Correct Answer: B.<\/strong> 4×5+3×4\u2212x3\u22122×2+14x^5 + 3x^4 – x^3 – 2x^2 + 1<\/p>\n\n\n\n

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

                Which polynomial lists the powers in descending order? A.B.C.D. The Correct Answer and Explanation is: The correct answer is: B.4×5+3×4\u2212x3\u22122×2+14x^5 + 3x^4 – x^3 – 2x^2 + 1 Explanation To identify the polynomial that lists powers in descending order, we must check the exponents of xx in each term. Descending order means the exponents go […]<\/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-226135","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226135","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=226135"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226135\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}