Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - 5.1 Introduction to Factoring - 5.1 Exercise Set: 61

Answer

$(2x^2-9)(x-4)$

Work Step by Step

Using factoring by grouping, the factored form of the given expression, $ 2x^3+36-8x^2-9x ,$ is \begin{array}{l} 2x^3-9x-8x^2+36 \\\\= (2x^3-9x)-(8x^2-36) \\\\= x(2x^2-9)-4(2x^2-9) \\\\= (2x^2-9)(x-4) .\end{array}
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