Answer
$8k(k^2+3)$
Work Step by Step
Note that:
$8k^3=4(2)(k)(k)(k)=2(2)(2)(k)(k)(k)
\\24k=3(8)(k)=3(4)(2)(k) = 3(2)(2)(2)(k)$
Thus, the greatest common factor is $2(2)(2)(k)=8k$.
Factor out the $8k$ to obtain:
$8k^3+24k=8k(k^2+3)$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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: 13
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