Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set - Page 279: 17

Answer

4; none of these

Work Step by Step

The degree of a polynomial is the largest degree of all its terms. For the polynomial $x^{2}y-4xy^{2}+5x+y^{4}$. The last term has the largest exponent sum on its variables, so it will have a larger degree than the rest of the terms. In this term, the exponent on y is 4, so the degree of the term is 4. Therefore, the degree of this polynomial is 4. The polynomial is a none of these because it has 4 terms.
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