Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.4 - Factoring Trinomials - Exercise Set - Page 361: 77

Answer

$2b(a+3)(3a-10)$

Work Step by Step

$ 6a^{2}b-2ab-60b\qquad$...factor out the common term, $2b$. $=2b(3a^{2}-a-30)$ ... Searching for two factors of $ac=-90$ whose sum is $b=-1,$ we find$\qquad 9$ and $-10.$ Rewrite the middle term and factor in pairs: $=2b(3a^{2}+9a-10a-30)=$ $=2b[3a(a+3)-10(a+3)]$ = $2b(a+3)(3a-10)$
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