Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Lesson Check - Page 531: 6


Yes, factoring by grouping would be used here. Please see details below.

Work Step by Step

We would try rewriting the middle term by first finding factors of $4\cdot 15$ whose sum is 23. Factors of $60$ with a sum of $23$, ... are $20$ and $3$. $...=4w^{2}+20w+3w+15$ By factoring each group, the same factor would appear in both pairs of terms, $w+5$. So, yes, we would factor this polynomial by grouping.
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