Question

f(x)=4x^-3 + 10x is it a polynomial function?

Answer 1

Given:

$f\mleft(x\mright)=4x^{-3}+10x$

Polynomial is represented as,

$\begin{gathered} p(x)=a_nx^n+a_{n-1}x^{n-1}+.\ldots\ldots\ldots a_1x+a_0 \\ n\text{ is non-negaitve integer} \\ a_i\text{ are real} \end{gathered}$

For the given function,

$4x^{-3}\text{ has power -3.}$

Therefore, the given function is not polynomial.