Answer
$4(2p^{2}+7)(p-4)$
Work Step by Step
$8p^{3}-32p^{2}+28p-112=$
...factor out the GCF.
$=4(2p^{3}-8p^{2}+7p-28)$
...factor by grouping.
$=4[2p^{2}(p-4)+7(p-4)]$
...factor again.
$=4(2p^{2}+7)(p-4)$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises - Page 532: 22
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