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 515: 31

Answer

(r+1)(r-4)

Work Step by Step

You are given $r^{2}$-3r-4. Factor it out: $r^{2}$+r-4r-4 -break out the middle value- ($r^{2}$+r)+(-4r-4) -group the first two and last two terms- r(r+1)-4(r+1) -Find the GCF of each grouping- (r+1)(r-4) -factor out the common term- =(r+1)(r-4)
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