Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.4 - Factoring Trinomials - Exercise Set - Page 361: 69



Work Step by Step

$ 15x^{3}-25x^{2}+10x\qquad$...factor out the common term, $5x$. $=5x(3x^{2}-5x+2)$ Two factors of $ac=+6$, whose sum is $b=-5$ are $-3$ and $-2$. Rewrite $-5x$ as $-3x-2x$ and factor in pairs. $5x(3x^{2}-5x+2)$ $=5x(3x^{2}-3x-2x+2)$ $=5x[3x(x-1)-2(x-1)]$ =$5x(x-1)(3x-2)$
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