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 - Page 310: 52

Answer

$(5x+4)(x^2-2)$

Work Step by Step

Using factoring by grouping, the factored form of the given expression, $ 5x^3+4x^2-10x-8 ,$ is \begin{array}{l} (5x^3+4x^2)-(10x+8) \\\\= x^2(5x+4)-2(5x+4) \\\\= (5x+4)(x^2-2) .\end{array}
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