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.
$2p^3+8p^2-42p$
$=2p(p^2+4p-21)$
$=2p(p+7)(p-3)$
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
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