Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.2 - Adding and Subtracting Polynomials - 4.2 Exercises: 46

Answer

$q^{3}+8q^{2}-4q$

Work Step by Step

We are given the polynomial $2q^{3}+3q^{2}-4q-q^{3}+5q^{2}$. We can use the distributive property to combine like terms. $2q^{3}+3q^{2}-4q-q^{3}+5q^{2}=(2-1)q^{3}+(3+5)q^{2}-4q=(1)q^{3}+(8)q^{2}-4q=q^{3}+8q^{2}-4q$
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