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

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Answer 1 · 2015-08-26T13:34:23

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

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.

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