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, $
\dfrac{4}{x}+20x-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 $\dfrac{4}{x}$ is equivalent to $4x^{-1}.$ So the exponent of $x$ is NOT nonnegative. Hence, the given expression is $\text{
NOT a polynomial
.}$
