## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 10 - Section 10.3 - Finding Binomial Factors - Exercise - Page 350: 66

#### Answer

$a(x+1)^2$

#### Work Step by Step

$ax^2+2ax+a\longrightarrow$ a is a common factor. $a(x^2+2x+1)$ =$a(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$ =$a(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$ =$a(x+\ \ )(x+\ \ )$ All terms in the trinomial are positive. =$a(x+1)(x+1)$ 1 and 1 have a sum of 2 and a product of 1. Since $x+1$ is repeated as a factor it is written as an exponent.

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