Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.4 - Factoring Trinomials - Exercise Set - Page 362: 84

Answer

$(x^2+1)(5x^2-3)$.

Work Step by Step

The given expression is $=5x^4+2x^2-3$. We can write $=5(x^2)^2+2x^2-3$ Substitute $x^2=u$. $=5(u)^2+2u-3$ Simplify. $=5u^2+2u-3$ Rewrite $2u$ as $5u-3u$. $=5u^2+5u-3u-3$ Factor. $=5u(u+1)-3(u+1)$ $=(u+1)(5u-3)$. Substitute back $u=x^2$. $=(x^2+1)(5x^2-3)$.
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.