Question

Is `f(x)=2/x^2-15x` a polynomial?

Answer 1

Most common definitions of "polynomial" would exclude `f(x)=2/(x^2)-15x`

Explanation:

Most definitions require that the exponent of any variable component be a non-negative integer value.

`f(x) = 2/(x^2)-15x`
is equivalent to
`f(x)=2x^(-2)-15x`

and because of the negative exponent `(-2)` would not be defined as a polynomial.