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: 48

Answer

$(2x-5)(5x^2+1)$

Work Step by Step

Using factoring by grouping, the factored form of the given expression, $ 10x^3-25x^2+2x-5 ,$ is \begin{array}{l} (10x^3-25x^2)+(2x-5) \\\\= 5x^2(2x-5)+(2x-5) \\\\= (2x-5)(5x^2+1) .\end{array}
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