If P(x)=x3+ax2+bx+cP(x) = x^3 + ax^2 + bx + cP(x)=x3+ax2+bx+c has roots α,β,γ\alpha, \beta, \gammaα,β,γ such that α2+β2+γ2=1\alpha^2 + \beta^2 + \gamma^2 = 1α2+β2+γ2=1 and α3+β3+γ3=3\alpha^3 + \beta^3 + \gamma^3 = 3α3+β3+γ3=3, find bbb given α+β+γ=0\alpha+\beta+\gamma=0α+β+γ=0.
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