## Algebra 1

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-4 Multiplying Special Cases - Mixed Review - Page 497: 71

#### Answer

35$x^{3}$+7$x^{2}$+63x=7x(5$x^{2}$+x+9)

#### Work Step by Step

In order to factor 35$x^{3}$+7$x^{2}$+63x we will look for the greatest factor that exists in each term, and factor out what's known as the GCF (Greatest common factor). In this case, the GCF is 7x, because it's the greatest factor that factors out of all three terms. After we factor out the 7x, we'll leave in parentheses whatever multiplies to the corresponding term in the original equation. For example, for the first term, after we factor out the 7x, we'll leave a 5$x^{2}$ because 7x multiplied by 5$x^{2}$ equals 35$x^{3}$. We'll end up rewriting the polynomial as 7x(5$x^{2}$+x+9)

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