State Whether the Function Is a Polynomial Function or Not $$f ( x ) = - 15 x ^ { 4 } + \pi x ^ { 3 } + 1$$

Multiple Choice

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
- $$f ( x ) = - 15 x ^ { 4 } + \pi x ^ { 3 } + 1$$

A) Yes; degree 8
B) Yes; degree 7
C) No; $x ^ { 3 }$ has a non-integer coefficient
D) Yes; degree 4