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 - 8-6 Factoring ax2+bx+c - Practice and Problem-Solving Exercises - Page 521: 19

Answer

(2d+5)(2d-7)

Work Step by Step

You are given $4d^{2}$-4d-35. Factor it out: $4d^{2}$+10d-14d-35 -break out the middle value- ($4d^{2}$+10d)+(-14d-35) -group the first two and last two terms- 2d(2d+5)-7(2d+5) -Find the GCF of each grouping's- (2d+5)(2d-7) -factor out the common term- =(2d+5)(2d-7)
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