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: 45

Answer

$-2n^{4}-n^{3}+n^{2}$

Work Step by Step

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