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: 43



Work Step by Step

$2n^{2}+3n-2=$ ...find factors of $ac$ with a sum of $b$. ($ac=-4,\ b=3$) $\left[\begin{array}{lll} \text{Factors of -4} & \text{Sum of factors} & \\ 1\text{ and }-4 & -3 & \\ -1\text{ and }4 & 3 & \text{ is what we need } \end{array}\right]$ ...use the factors you found to rewrite $bx$. $=2n^{2}-n+4n-2$ ...factor by grouping. $=n(2n-1)+2(2n-1)$ ...use the Distributive Property. $=(n+2)(2n-1)$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.