Answer
$(x^4+1)(x^2+1)$
Work Step by Step
The given expression, $
x^6+x^2+x^4+1
,$ simplifies to
\begin{array}{l}\require{cancel}
(x^6+x^2)+(x^4+1)
\\\\=
x^2(x^4+1)+(x^4+1)
\\\\=
(x^4+1)(x^2+1)
.\end{array}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 5 - Polynomials and Factoring - 5.1 Introduction to Factoring - 5.1 Exercise Set - Page 311: 74
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