Answer
$6(2x^{2}+3)(2x+5)$
Work Step by Step
$24x^{3}+60x^{2}+36x+90$
...factor out the GCF.
$=6(4x^{3}+10x^{2}+6x+15)$
...factor by grouping.
$=6[2x^{2}(2x+5)+3(2x+5)]$
...factor again.
$=6(2x^{2}+3)(2x+5)$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Lesson Check - Page 531: 3
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