Question

f(x)=3x^3+2x^2-1 is it a polynomial function?

Answer 1

Given:

$f(x)=3x^3+2x^2-1$

Polynomial:

The expression contains one or more terms with a non-zero coefficient.

It is represented as,

$\begin{gathered} p(x)=a_na^n+a_{n-1}a^{n-1}+.\ldots\ldots+a_1x+a_0 \\ n\text{ is non negative integer.} \end{gathered}$

The given function has non-negative powers, and all the coefficients are real.

Therefore, the given function is polynomial.