Sangeetha Pulapaka
0

STEP 1: Recall what is a polynomial

https://virtualnerd.com/algebra-1/exponents-exponential-functions/monomials-polynomials/polynomials/polynomial-definition

STEP 2: Recall how to divide two monomials

http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U11_L2_T5_text_final.html

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

https://www.qalaxia.com/viewDiscussion?messageId=5cdad642f32dc9584bdccefe

What are the rules of exponents

https://www.qalaxia.com/viewDiscussion?messageId=5cdad460f32dc9584bdccec7