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: 25


The given expression is a polynomial of degree $2$.

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 the SUM of several monomials. The degree of the polynomial is the degree of the monomial with the highest degree. This is a sum of $3x^{2}$ and $(-5)$, two monomials. The first has degree $2$, and the second has degree $0$. This is a polynomial of degree $2$.
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