Question

Is the expression $a-\frac{1}{a^2}$polynomial or not? If not write the reason.

Answer 1

The given expression is $a-\frac{1}{a^2}$.

We know that a polynomial is an expression in which the term has non-negative exponent is called a polynomial.

But in the given expression $a-\frac{1}{a^2}$there $\frac{1}{a^2}=a^{-2}$is a negative exponent.

Hence, the expression $a-\frac{1}{a^2}$is not a polynomial.