Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 10 - Section 10.3 - Finding Binomial Factors - Exercise: 28

Answer

$2(w+2)(w-8)$

Work Step by Step

$2w^2-12w-32\longrightarrow$ 2 is a common factor. $=2(w^2-6w-16)$ $=2(\ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ )$ $=2(w\ \ \ \ \ \ )(w\ \ \ \ \ \ )$ $=2(w+\ )(w-\ )$ The factors of -32 must have unlike signs. $=2(w+2)(w-8)$ 2 and -8 have a sum of -6 and a product of -16.
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