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: 29

Answer

$\text{Kind: }\text{ trinomial }\\\text{Degree: } 3$

Work Step by Step

Since the +/- operator separates terms, the given polynomial expression, $ -5m^3+6m-9m^2 ,$ has $ 3 $ terms. The degree of a polynomial is the highest degree among all the terms. The term that has the highest degree is the term $ -5m^3 .$ Hence, the given polynomial has the following characteristics: \begin{array}{l}\require{cancel} \text{Kind: }\text{ trinomial }\\\text{Degree: } 3 .\end{array}
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