College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Chapter P Review - Exercises - Page 77: 54

Answer

$(x^{2}+2)(x+1)(x-1)$

Work Step by Step

We treat $x^4$ as $(x^2)^2$. Then we use $a^2-b^2=(a+b)(a-b)$: $x^{4}+x^{2}-2=(x^{2})^{2}+x^{2}-2=(x^{2}+2)(x^{2}-1)=(x^{2}+2)(x+1)(x-1)$
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