Precalculus (6th Edition)

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: 60

Answer

$9r+4$

Work Step by Step

Step 1. Rewrite and factor the numerator as $72r^2+59r+12=72r^2+27r-27r+59r+12=9r(8r+3)+32r+12=9r(8r+3)+4(8r+3)=(8r+3)(9r+4)$ Step 2. We have $\frac{72r^2+59r+12}{8r+3}=\frac{(8r+3)(9r+4)}{8r+3}=9r+4$
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