Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.4 Factoring Polynomials - R.4 Exercises - Page 43: 34

Answer

$\color{blue}{(5z^2-2x)(4+p)}$

Work Step by Step

Regroup by grouping the first two terms together and the last two terms together to obtain: $=(20z^2-8x)+(5pz^2-2px)$ Factor out $4$ in the first and $p$ in the second group to obtain: $=4(5z^2-2x)+p(5z^2-2x)$ Factor out $5z^2-2x$ to obtain: $=\color{blue}{(5z^2-2x)(4+p)}$
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