If $\omega$ is cube root of unity then $\Delta=\begin{vmatrix}x+1&\omega&\omega^2\\\omega&x+\omega^2&1\\\omega^2&1&x+\omega^2\end{vmatrix}=$

Question

$\begin{array}{1 1}(A)\;x^3+1&(B)\;x^3=\omega\\(C)\;x^3+\omega^2&(D)\;x^3\end{array}$