## Precalculus (10th Edition)

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. Here, we have $\displaystyle \frac{3}{x}+2=3x^{-1}+2$ The first term is not a monomial, because the variable has a negative exponent. So, the expression is not a polynomial. Not a polynomial, because not all terms in the sum are monomials. (The variable has a negative exponent in one of the terms)