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 4 - Polynomials - Mid-Chapter Review - Mixed Review: 20

Answer

$-x^5+2x^4-2x^2-x$

Work Step by Step

By combining like terms, the given expression, $ \left(x^4-2x^2-\dfrac{1}{2}x \right)-\left( x^5-x^4+\dfrac{1}{2}x \right) $, simplifies to \begin{array}{l}\require{cancel} x^4-2x^2-\dfrac{1}{2}x-x^5+x^4-\dfrac{1}{2}x \\\\= -x^5+(x^4+x^4)-2x^2+\left( -\dfrac{1}{2}x-\dfrac{1}{2}x \right) \\\\= -x^5+2x^4-2x^2-x .\end{array}
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