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 522: 40

Answer

(2z-7)(7z-2)

Work Step by Step

You are given $14z^{2}$-53z+14. Factor it out: $14z^{2}$-49z-4z-14 -break out the middle value- ($14z^{2}$-49z)+(-4z-14) -group the first two and last two terms- 7z(2z-7)-2(2z-7) -Find the GCF of each grouping's- (2z-7)(7z-2) -factor out the common term- =(2z-7)(7z-2)
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