Fourth degree polynomial in $Z_2[x]$ whose roots are the four elememts of the field $Z_2[x]/(x^2+x+1)$

Fourth degree polynomial in $Z_2[x]$ whose roots are the four elememts of
the field $Z_2[x]/(x^2+x+1)$

As indicated by the title, I am supposed to find a fourth degree
polynomial in $Z_2[x]$ whose roots are the four elememts of the field
$Z_2[x]/(x^2+x+1)$. To me, the question doesn't really make sense. By
definition, a root of a polynomial $f(x)\in Z_2[x]$ is an element $a\in
Z_2$ such that the function $y \mapsto f(y)$ maps $a$ to $0$. However, the
elements of $Z_2[x]/(x^2+x+1)$ are classes of polynomials and not elements
of $Z_2$.