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 - Page 285: 31

Answer

$\text{Kind: }\text{ none of the choices given }\\\text{Degree: } 4+1=5 \text{ or } 3+2=5$

Work Step by Step

Since the +/- operator separates terms, the given polynomial expression, $ -6p^4q-3p^3q^2+2pq^3-q^4 ,$ has $ 4 $ terms. The degree of a polynomial is the highest degree among all the terms. The term that has the highest degree is the term $ -6p^4q $ or $ -3p^3q^2 $ Hence, the given polynomial has the following characteristics: \begin{array}{l}\require{cancel} \text{Kind: }\text{ none of the choices given }\\\text{Degree: } 4+1=5 \text{ or } 3+2=5 .\end{array}
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