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: 20

Answer

(4x+1)(2x+7)

Work Step by Step

You are given $8x^{2}$+30x+7. Factor it out: $8x^{2}$+28x+2x+7 -break out the middle value- ($8x^{2}$+28x)+(2x+7) -group the first two and last two terms- 4x(2x+7)+1(2x+7) -Find the GCF of each grouping's- (4x+1)(2x+7) -factor out the common term- =(2x+7)(4x+1)
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