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.