Polynomialshard
0:00.0

If P(x)=x4+ax3+bx2+cx+dP(x) = x^4 + ax^3 + bx^2 + cx + d has roots α,β,γ,δ\alpha, \beta, \gamma, \delta such that α+β+γ+δ=1\alpha+\beta+\gamma+\delta = 1 and αβ=2\sum \alpha\beta = 2, and the sum of squares is 3, what is bb?