Elementary Technical Mathematics

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

Chapter 10 - Section 10.6 - Factoring General Trinomials - Exercise - Page 356: 40

Answer

$2b(10x+7)(2x-5)$

Work Step by Step

For the polynomial $$ 40bx^2 -72bx -70b=2b(20x^2-36x-35) $$ we check the factors of $ac=20(-35)=-170$. The only factors that can give the right middle term are $-50$ and $14$, as follows $$ 40bx^2 -72bx -70b=2b(10x+7)(2x-5) .$$
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