State whether the function is a polynomial function or not I

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.

f(x) = (8-x^3)/8

A. Yes; degree 3

B. No; x is a negative term

C. No; it is a ratio

D. Yes; degree 1

Solution

Since the exponent is 3 and it does not contain any negative exponent and fractional exponent, hence it is a polynomial.

Degree is the highest exponent which is 3

A is correct option