Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A30: 31


The given expression is a polynomial of degree $3$.

Work Step by Step

A monomial is an expression of the form $ax^{k}$, where $x$ is the variable, the exponent $k$, a nonnegative integer, is the degree, and $a$ is the coefficient of the term. A polynomial expression is either a single monomial or a SUM of several monomials. The degree of the polynomial is the degree of the monomial with the highest degree. $2y^{3}$ is a monomial of degree $3$, $-\sqrt{2}=-\sqrt{2}\cdot y^{0}$ so it is a monomial of degree $0$ Their sum is a polynomial (a binomial). This is a polynomial of degree 3.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.