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: 77

Answer

$(x-1)(5x^4+x^2+3)$

Work Step by Step

Using factoring by grouping, the factored form of the given expression, $ 5x^5-5x^4+x^3-x^2+3x-3 ,$ is \begin{array}{l}\require{cancel} 5x^4(x-1)+x^2(x-1)+3(x-1) \\\\= (x-1)(5x^4+x^2+3) .\end{array}
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