Polynomialshard
0:00.0

If P(x)P(x) is a monic cubic polynomial with roots α,β,γ\alpha, \beta, \gamma such that α+β+γ=0,α2+β2+γ2=6,α3+β3+γ3=9\alpha+\beta+\gamma=0, \alpha^2+\beta^2+\gamma^2=6, \alpha^3+\beta^3+\gamma^3=9, what is P(x)P(x)?