Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Mid-Chapter Quiz - Page 510: 30


1. Remove the parentheses applying the Distributive Property. 2. Write the terms in order of their degrees. 3. Add/subtract like terms. Result: $ -k^{3}+12k^{2}+8k-16$

Work Step by Step

First, remove the parentheses. The first parentheses are simply removed, and the second are removed by distributing the minus among its terms: $=8k^{2}+k-1-k^{3}+4k^{2}+7k-15$ ...Write the terms in order of their degrees $=-k^{3}+8k^{2}+4k^{2}+k+7k-1-15$ ... Add/subtract like terms =$ -k^{3}+12k^{2}+8k-16$
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