Chapter 8.1, Problem 6CYU

To determine

To find: Whether the expression $5q^{-4}+6q$ 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 6CYU

It is not a polynomial

Explanation of Solution

Given:

  $5q^{-4}+6q$

Calculation:

The given expression is $5q^{-4}+6q$

The exponent of a polynomial must be a whole number. For a polynomial, the exponent can never be negative, square root, any fractional number and no variable should be in the denominator.

Here, one of the exponent is negative. Hence, it is not a polynomial.