Precalculus (10th Edition)

Published by Pearson

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A30: 22

Answer

Not a monomial (because there are variables in the denominator)

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. The given expression is a quotient of a monomial $(-2x^{2})$ and a binomial $(x^{3}+1)$. Thus, it is not a monomial because there are variables in the denominator.

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