## Intermediate Algebra: Connecting Concepts through Application

$\bf{\text{Solution Outline:}}$ 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 $\text{ NOT a polynomial .}$