## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - Mid-Chapter Quiz - Page 510: 27

#### Answer

Sample answer: $9x^{4}+9x^{3}+9x^{2}$

#### Work Step by Step

First, we write a trinomial with $1$ as the GCF of its terms, to ensure that here will be no other common factors. (sample:)$\qquad x^{2}+x+1$. Then we multiply it with $9x^{2}$: $9x^{2}(x^{2}+x+1.)=\qquad$ ... distribute $=9x^{2}(x^{2})+9x^{2}(x)+9x^{2}(1)\qquad$... simplify =$9x^{4}+9x^{3}+9x^{2}$ Sample answer: $9x^{4}+9x^{3}+9x^{2}$

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