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: 38

Answer

$(3x-5y)(2x+y)$

Work Step by Step

$6x^{2}-7xy-5y^{2}=$ two factors of $ac=-30$ whose sum is $b=-7$ are $-10$ and $+3.$ Rewrite the middle term and factor in pairs. $6x^{2}-7xy-5y^{2}=6x^{2}-10xy+3xy-5y^{2}$ $=2(3x-5y)+(3x-5y)$ $=(3x-5y)(2x+y)$
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