Is the function below a polynomial? If it is, enter its degree in the blank. If not, enter NONE.

$f(x) = 6 x^{5} - 3 x^{3} + 8 e^x \ $ has degree help (numbers)

$g(x) = 6 x^{5} - 3 x^{3} + (8 e) x \ $ has degree help (numbers)