# Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises - Page 519: 16

$(11w-9)(w^{2}+1)$

#### Work Step by Step

$11w^{3}=$ $11.w.w.w$ and $9w^{2}=$ $3.3.w.w$ Here, $w^{2}$ is the largest term which you can factor out. Hence, $GCF=$$w^{2} Now, 11w=$$11.w$ and $9=3.3$ Hence, $GCF=1$ Then, after grouping : $=(11w^{3}-9w^{2})+(11w-9)$ $=w^{2}(11w-9)+ 1(11w-9)$ $=(11w-9)(w^{2}+1)$

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