Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Review Exercises - Page 479: 22

Answer

$-2(2x-1)(2x+3)$

Work Step by Step

$-8x^{2}-8x+6\qquad$...factor out the common term, $-2$. $=-2(4x^{2}+4x-3)$ ... Searching for two factors of $ac=-12$ whose sum is $b=4,$ we find$\qquad-2$ and $6.$ Rewrite the middle term and factor in pairs: $=-2(4x^{2}-2x+6x-3)=$ $=-2[2x(2x-1)+3(2x-1)]$ =$-2(2x-1)(2x+3)$
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