Sangeetha Pulapaka

STEP 1: Recall what is a polynomial

STEP 2: Recall how to divide two monomials

Divide the two given polynomials

If f(x) = x^{4} and g(x) = x^{5} then

\frac{f(x)}{g(x)} = \frac{x^{4}}{x^{5}} = \frac{1}{x} which is not a polynomial since \frac{1}{x} = x^{-1}

Since a polynomial should not have any negative exponents, the answer is not a polynomial.

Skills to recall:

What are exponents

What are the rules of exponents