Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Chapter Test - Page 539: 23

Answer

$3n^2(2n-1)(n+3)$

Work Step by Step

$6n^4+15n^3-9n^2$ $=3n^2(2n^2)+3n^2(5n)-3n^2(3)$ $=3n^2(2n^2+5n-3)$ $=3n^2(2n^2+6n-n-3)$ $=3n^2[(2n^2-n)+(6n-3)]$ $=3n^2[n(2n-1)+3(2n-1)]$ $=3n^2(2n-1)(n+3)$
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