Question

Which of the following is not a polynomial?

• A. $2x^2+2x+6$
• B. $x^3+9$
• C. $5x+10$
• D. $\frac{2}{x}+2$

Answer 1

The correct option is D $\frac{2}{x}+2$

For an algebraic expression to be a polynomial, the power of the variables must always be a whole number.

The expression,
$\frac{2}{x}+2,$

can also be written as
$2x^{-1}+2$

In the above expression , the power of the variable $x$ is -1, which is not a whole number.
Hence, it is not a polynomial.