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: 31

Answer

$\color{blue}{(m^4+3)(2-a)}$

Work Step by Step

Regroup: $=(2m^4+6)+(-am^4-3a)$ Factor out $2$ in the first and $-a$ in the second group to obtain: $=2(m^4+3)+(-a)(m^4+3)$ Factor out $m^4+3$ to obtain: $(m^4+3)[(2+(-a)] \\=\color{blue}{(m^4+3)(2-a)}$
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