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 - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises - Page 533: 41

Answer

$(y-2)(y+2)(y+11)$

Work Step by Step

$y^{3}+11y^{2}-4y-44=$ ...factor out the GCF out of each pair of terms. $=y^{2}(y+11)-4(y+11)$ ...use the Distributive Property. $=(y^{2}-4)(y+11)$ ...write $y^{2}-4$ as a difference of two squares. $=(y-2)(y+2)(y+11)$
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