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 - 8-2 Multiplying and Factoring - Practice and Problem-Solving Exercises - Page 495: 20


The GCF is 7$z^{2}$

Work Step by Step

14$z^{4}$-42$z^{3}$+21$z^{2}$ Find prime factors of each term: 14$z^{4}$=2$\times$7$\times$z$\times$z$\times$z$\times$z 42$z^{3}$=2$\times$3$\times$7$\times$z$\times$z$\times$z 21$z^{2}$=3$\times$7$\times$z$\times$z Thus, the Common factors are 7$\times$z$\times$z=7$z^{2}$.
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