Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.5 - Factoring Polynomials - Exercise Set - Page 68: 33

Answer

$(5x+8)(4x-1)$

Work Step by Step

$20x^{2}+27x-8=$ two factors of $ac=-160$ whose sum is $b=+27$ are $+32$ and $-5.$ Rewrite the middle term and factor in pairs. $20x^{2}+27x-8=20x^{2}+32x-5x-8$ $=4x(5x+8)-(5x+8)$ $=(5x+8)(4x-1)$
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