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: 14

Answer

(z+4)(5z-1)

Work Step by Step

You are given $5z^{2}$+19z-4. Factor it out: $5z^{2}$+20z-z-4 -break out the middle value- ($5z^{2}$+20z)+(-z-4) -group the first two and last two terms- 5z(z+4)-1(z+4) -Find the GCF of each grouping- (z+4)(5z-1) -factor out the common term- =(z+4)(5z-1)
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