If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.
-$$f ( x ) = 5 x ^ { - 7 } + 17$$
A) Degree: -7; leading coefficient: 5
B) Degree: 5 ; leading coefficient: $- 7$
C) Degree: 7; leading coefficient: 5
D) Not a polynomial function

Question

Quizplus · Accepted Answer

A polynomial function's exponents on the variable must be whole numbers (0, 1, 2, ...). Since $x^{-7}$ has a negative exponent, $f(x) = 5x^{-7} + 17$ is not a polynomial function.

If the Following Is a Polynomial Function, Then State Its f(x)=5x−7+17f ( x ) = 5 x ^ { - 7 } + 17f(x)=5x−7+17

If the Following Is a Polynomial Function, Then State Its $f ( x ) = 5 x ^ { - 7 } + 17$