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: 58

Answer

$4(x+2)^2$

Work Step by Step

$4x2+16x+16\longrightarrow$ 4 is a common factor. =$4(x^2+4x+4)$ =$4(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$ =$4(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$ =$4(x+\ \ )(x+\ \ )$ All signs in the trinomial are positive. =$4(x+2)(x+2)$ 2 and 2 have a sum of 4 and a product of 4. Since $x+2$ is repeated as a factor it is written as an exponent in the final solution.
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