# The common roots to the equations $z^3+2z^2+2z+1=0\:\:and\:\:z^{149}+z^{100}+1=0$ are
$\begin{array}{1 1} (A) 1,\omega,\omega^2\\ (B) -1,\omega,\omega^2\\ (C) \omega,\omega^2\\ (D) -\omega,-\omega^2 \end{array}$