Chapter 8.1, Problem 20PPS

To determine

To find: Whether the expression $\frac{5y^3}{x^2}+4x$ is a polynomial or not. If it is a polynomial, find the degree and determine if it is a monomial, binomial, or trinomial.

Answer to Problem 20PPS

Not a polynomial

Explanation of Solution

Given:

  $\frac{5y^3}{x^2}+4x$

Calculation:

The given expression is $\frac{5y^3}{x^2}+4x$

This expression can be rewrite as

  $5y^3{x}^{-2}+4x$

The exponent of a polynomial must be a whole number. In this expression there is a negative exponent.

So, it is not a polynomial.