Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Chapter Review - Page 537: 47



Work Step by Step

$6m^{2}+25mn+11n^{2}=$ ...find factors of $ac$ with a sum of $b$. ($ac=66,\ b=25$) $\left[\begin{array}{lll} \text{Factors of 66} & \text{Sum of factors} & \\ 2\text{ and }33 & 35 & \\ 3\text{ and }22 & 25 & \text{ is what we need } \end{array}\right]$ ...use the factors you found to rewrite $bx$. $=6m^{2}+3mn+22mn+11n^{2}$ ...factor by grouping. $=3m(2m+n)+11n(2n+n)$ ...use the Distributive Property. $=(3m+11n)(2m+n)$
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