SOLUTION: State whether the function is a polynomial function or not. If it is, give its degree. It is not, tell why not. f(x)=8-x^3/8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: State whether the function is a polynomial function or not. If it is, give its degree. It is not, tell why not. f(x)=8-x^3/8      Log On


   

Question 1046213: State whether the function is a polynomial function or not. If it is, give its degree. It is not, tell why not. f(x)=8-x^3/8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
It's not clear what the original function is

IF the function is f%28x%29+=+8+-+%28x%5E3%29%2F8, then it is a polynomial. It's a degree 3 polynomial since the largest exponent is 3.

OR

IF the function is f%28x%29+=+8+-+x%5E%283%2F8%29%5E%22%22 (notice how the exponent is 3/8), then it is NOT a polynomial because of the fractional exponent over the variable.

Here is a good article to help determine what makes a polynomial or not.