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 - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 528: 62



Work Step by Step

Find factors of $ac$ that have a sum of $b$. Since $ac=-252$ and $b=9$, find factors of $-252 $ with a sum of $9$. These factors are $21$ and $-12$. $18x^{2}+9x-14$ ...use the factors to rewrite $bx$. $=18x^{2}+21x-12x-14$ ...factor out the GCF out of each pair of terms. $=3x(6x+7)-2(6x+7)$ ...use the Distributive Property. $=(3x-2)(6x+7)$
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