College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5 - Page 74: 73



Work Step by Step

$2x^{2}-2x-112$ Factor out common factor 2 from the expression. $2(x^{2}-x-56)$ Since the last term of $(x^{2}-x-56)$ is -56. We need to find two factors of -56 that have a sum of -1. 7 and -8 are factors of -56. Also, $7\times-8=-56$ and $7-8=-1$ Therefore, $2(x^{2}-x-56)$ can be written as $=2(x^{2}+7x-8x-56)$ Group the terms. $=2((x^{2}+7x)+(-8x-56))$ Factor out common factors. $=2(x(x+7)-8(x+7))$ Factor out common factor (x+7). $=2((x+7)(x-8))$
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