Polynomialshard
0:00.0

Let P(z)=z3+9z2+27z+27P(z) = z^3 + 9z^2 + 27z + 27. If the roots of P(z)=0P(z) = 0 are ω1,ω2,ω3\omega_1, \omega_2, \omega_3, what is the value of ω12+ω22+ω32\omega_1^2 + \omega_2^2 + \omega_3^2?