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 - Page 436: 38

Answer

$(x-2y)(x-7y)$

Work Step by Step

The given expression, $ x^2-9xy+14y^2 ,$ has $c= 14 $ and $b= -9 .$ The possible factors of $c$ are $ \{ 1,14 \} ,\{ 2,7 \} ,\{ -1,-14 \} ,\{ -2,-7 \} $. Among these factors, the pair whose sum is equal to $b$ is $\{ -2,-7 \}.$ Hence, the factored form is \begin{array}{l}\require{cancel} (x-2y)(x-7y) .\end{array}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.