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: 51

Answer

$(7x+5)(x^2-3)$

Work Step by Step

Using factoring by grouping, the factored form of the given expression, $ 7x^3+5x^2-21x-15 ,$ is \begin{array}{l} (7x^3+5x^2)-(21x+15) \\\\= x^2(7x+5)-3(7x+5) \\\\= (7x+5)(x^2-3) .\end{array}
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