Chapter A.3, Problem 17AYU

To determine

To find: Whether the expression is a monomial. If it is, name the variable and the coefficient, and give the degree of the monomial. If it is not a monomial, state why not.

Answer to Problem 17AYU

Not a monomial; the exponent one of the variable is not a nonnegative integer.

Explanation of Solution

Given:

$\frac{8x}{x^2-1}$

Calculation:

A monomial in one variable is the product of a constant and a variable raised to a nonnegative integer power.

Given, $\frac{8x}{x^2-1}$. Therefore the expression is not a monomial, since the exponent one of the variable is not a nonnegative integer.