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

Published by Pearson

# Chapter R - Elementary Algebra Review - R.4 Polynomials - R.4 Exercise Set - Page 961: 38

#### Answer

$8x^5+\dfrac{3}{10}x+\dfrac{2}{3}$

#### Work Step by Step

By combining like terms, the given expression, $8x^5-\dfrac{1}{3}+\dfrac{4}{5}x+1-\dfrac{1}{2}x ,$ simplifies to \begin{array}{l}\require{cancel} 8x^5+\left( \dfrac{4}{5}x-\dfrac{1}{2}x \right)+\left(-\dfrac{1}{3}+1 \right) \\\\= 8x^5+\left( \dfrac{8}{10}x-\dfrac{5}{10}x \right)+\left(-\dfrac{1}{3}+\dfrac{3}{3} \right) \\\\= 8x^5+\dfrac{3}{10}x+\dfrac{2}{3} .\end{array}

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