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 311: 78



Work Step by Step

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