Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 10 - Section 10.3 - Finding Binomial Factors - Exercise: 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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