If $\omega$ is a complex root of unity, one root of the equation $\begin{vmatrix}x+1 &\omega&\omega^2\\\omega&x+\omega^2&1\\\omega^2&1&x+\omega\end{vmatrix}=0$ is

Question

$\begin{array}{1 1}(A)0 \\ (B) 1 \\ (C) \omega \\(D) \omega^2 \end{array}$