Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.2 - Solving Quadratic Equations by Completing the Square - Exercise Set: 71

Answer

$(x^2+5)(x+2)(x-2)$

Work Step by Step

Given: $x^4+x^2-20 \\ $ $1.)$ Let: $u=x^2 $ $u^2+u-20$ $2.)$ Factor $u^2+u-20$ $(u+5)(u-4)$ $3.)$ Substitute $u=x^2$ $(x^2+5)(x^2-4)$ $4.)$ Factor $(x^2-4)$ $(x^2+5)(x+2)(x-2)$
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