Intermediate Algebra: Connecting Concepts through Application

by Clark, Mark; Anfinson, Cynthia

Published by Brooks Cole

ISBN 10: 0-53449-636-9

ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - Chapter Test - Page 289: 24

Answer

$2p(p+7)(p-3)$

Work Step by Step

Pull out the greatest common factor of the trinomial. Then since the coefficient of the variable squared is $1$, factor using trial and error. $2p^3+8p^2-42p$ $=2p(p^2+4p-21)$ $=2p(p+7)(p-3)$

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