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 - 8-5 Factoring x2+bx+c - Practice and Problem-Solving Exercises - Page 516: 35



Work Step by Step

You are given $r^{2}$+19rs+90$s^{2}$. Factor it out: $r^{2}$+10rs+9rs+90$s^{2}$ -break out the middle value- ($r^{2}$+10rs)+(9rs+90$s^{2}$) -group the first two and last two terms- r(r+10s)+9s(r+10s) -Find the GCF of each grouping- (r+9s)(r+10s) -factor out the common term- =(r+10s)(r+9s)
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