Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.5 - A General Factoring Strategy - Exercise Set - Page 462: 72



Work Step by Step

$ 3r^{3}-27r^{2}-210r\qquad$...factor out the common term, $3r$ $=3r(r^{2}-9r-70)$ Two factors of $ac=-70$, whose sum is $b=-9$ are $5$ and $-14$. Rewrite the middle term and factor in pairs. $3r(r^{2}-9r-70)$ $=3r(r^{2}+5r-14r-70)$ $=3r[r(r+5)-14(r+5)]\qquad$...factor out the common binomial factor,$r+5$. $=3r(r+5)(r-14)$
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