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: 56

Answer

$2(x+3)(x-6)$

Work Step by Step

$2x^2-6x-36\longrightarrow$ 2 is a common factor. =$2(x^2-3x-18)$ =$2(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$ =$2(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$ =$2(x+\ \ )(x-\ \ )$ The factors of -18 must have unlike signs. =$2(x+3)(x-6)$ 3 and -6 have a sum of -3 and a product of -18.
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