Question

Is $\frac{3}{a^2}-3a+3$ polynomial or not ? If not write the reason.

Answer 1

We know the definition of a polynomial and defined as below,

Polynomial: An expression in which the term has non-negative exponent is called a polynomial.

The given expression is $\frac{3}{a^2}-3a+3$.

Here $\frac{3}{a^2}=3a^{-2}$ in this $a^{-2}$ is a negative exponent.

Hence the given expression $\frac{3}{a^2}-3a+3$ is not a polynomial.