#### 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, $
-8x+3x^{-2}-10
,$ 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 $3x^{-2}$ has an exponent that is NOT nonnegative. Hence, the given expression is $\text{
NOT a polynomial
.}$