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: 71



Work Step by Step

$ 2r^{3}+30r^{2}-68r\qquad$...factor out the common term, $2r$ $=2r(r^{2}+15r-34)$ Two factors of $ac=-34$, whose sum is $b=15$ are $-2$ and $17$. Rewrite the middle term and factor in pairs. $2r(r^{2}+15r-34)$ $=2r(r^{2}-2r+17r-34)$ $=2r[r(r-2)+17(r-2)]\qquad$...factor out the common binomial factor,$r-2$. $=2r(r-2)(r+17)$
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