Answer
$(r-6p)(r+7p)$
Work Step by Step
Step 1. Find factors of $-42$ as $(-6)(7)$ and the sum of the factors as $-6+7=1$
Step 2. We have $r^2+rp-42p^2=(r-6p)(r+7p)$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - Chapter R Test Prep - Review Exercises - Page 83: 66
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