Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 5 - Section 5.4 - A General Approach to Factoring - 5.4 Exercises - Page 347: 13

Answer

$(p+2)(4+m)$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To factor the given expression, $ 4(p+2)+m(p+2) ,$ factor the $GCF.$ $\bf{\text{Solution Details:}}$ The $GCF$ of the terms in the given expression is $ (p+2) ,$ since it is the greatest expression that can divide all the terms evenly (no remainder.) Factoring the $GCF$ results to \begin{array}{l}\require{cancel} (p+2)(4+m) .\end{array}
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