Answer
not a polynomial
Work Step by Step
Polynomials consist of one or more monomials and have the form:
$$a_nx^n+a_{n-1}x^{n-1}+...+ a_1x+a_0$$
where $x$ is the variable, $a_n$ is the leading coefficient, and $n$ is a non-negative integer called the degree.
We see that the given expression $ \frac{3x^2+2x-1}{x^2+x+1}$ is not a polynomial because it can not be written as a sum of monomials in the form above.
