Answer
NOT a polynomial
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the description of a polynomial expression to evaluate if the given expression, $
3\sqrt{x}-5x+2
,$ is a polynomial or not.
$\bf{\text{Solution Details:}}$
A polynomial expression is an expression where the exponent of the variable in every term is a nonnegative integer.
The term $3\sqrt{x}$ is equivalent to $3x^{\frac{1}{2}}.$ So, this term has an exponent that is NOT a nonnegative integer. Hence, the given expression is $\text{
NOT a polynomial
.}$