Question

State whether the following expressions are polynomials in one variable or not. Give reasons for your answer. $x-\frac{1}{x}$

Answer 1

$x-\frac{1}{x}$ is not a polynomial in one variable because a polynomial has whole number exponent of the variable.

Here $\frac{1}{x}=x^{-1}$ where $-1$ is not a whole number.

Hence, $x-\frac{1}{x}$ is not a polynomial of one variable.

Hence, solved.