Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A30: 2

Answer

$x^4-16.$

Work Step by Step

Since $(x^2-4)(x^2+4)$ is a factorization of the difference of two squares, then we have $$ (x^2-4)(x^2+4)=x^4-16. $$ Where we used the fact that $a^2-b^2=(a+b)(a-b)$.
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