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: 20

Answer

$7r^3s(4rs+1-5rs^2)$

Work Step by Step

The GCF of the coefficients is $7$. 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 $r^3s$. The GCF is $7r^3s$. Factor out the GCF to obtain: $28r^4s^2+7r^3s-35r^4s^3=7r^3s(4rs+1-5rs^2)$
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