Elementary Technical Mathematics

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

Chapter 10 - Review - Page 358: 29

Answer

$4(x+7)(x-13)$

Work Step by Step

Taking a common monomial factor, we get $$4x^2-24x-364=4(x^2-6x-91).$$ Since $7$ and $-13$ are factors and satisfy $7-13=-6$ and $7(-13)=-91$, we have $$ 4(x^2-6x-91)=4(x+7)(x-13) .$$
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