Question

Which of the following is not a polynomial?

• A. $x^2$ + $2x$
• B. $x^{\frac{1}{2}}$ + $3x$
• C. $x^3$ + $2x^2$ + $3$
• D. $x+3$

Answer 1

The correct option is B $x^{\frac{1}{2}}$ + $3x$

An algebraic expression in which the variables involved have only non-negative integral powers is called a polynomial.

For $x^{\frac{1}{2}}$ + $3x$, since the power of the variable $x$ is $\frac{1}{2}$ which is not a non-negative integer, the expression $x^{\frac{1}{2}}$ + $3x$ is not a polynomial.

For all the other polynomials, the powers of the variable term are non- negative integers.