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: 19

Answer

$4k^2m^3(1+2k^2-3m)$

Work Step by Step

The GCF of the coefficients is $4$. The GCF of the literal coefficients (the variables) is the one with the lowest exponent for each variable. Thus, the GCF of the variables is $k^2m^3$. The GCF is $4k^2m^3$. Factor out the GCF to obtain: $4k^2m^3+8k^4m^3-12k^2m^4=4k^2m^3(1+2k^2-3m)$
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