Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

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: 74

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}
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