Question

State True or False.
The following expression is a polynomial:

$x^2-\frac{1}{x^2}$

• A. True
• B. False

Answer 1

The correct option is B False

Expression $x^2-\frac{1}{x^2}$ can be written as $x^2-x^{-2}$.
Clearly, it is not a polynomial as power of x is -2, which is not whole number.
Therefore, given expression is not a polynomial.