Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.2 - Factoring Trinomials Whose Leading Coefficient is 1 - Exercise Set: 36

Answer

$(x+2y)(x+4y)$

Work Step by Step

The given expression, $ x^2+6xy+8y^2 ,$ has $c= 8 $ and $b= 6 .$ The possible factors of $c$ are $ \{ 1,8 \} ,\{ 2,4 \} \{ -1,-8 \} ,\{ -2,-4 \} $. Among these factors, the pair whose sum is equal to $b$ is $\{ 2,4 \}.$ Hence, the factored form is \begin{array}{l}\require{cancel} (x+2y)(x+4y) .\end{array}
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