Ononot — Given the polynomial P(x) = x^4 + ax^3 + bx^2 + cx + d has r

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Polynomialshard

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Given the polynomial $P(x) = x^4 + ax^3 + bx^2 + cx + d$ has roots $\alpha, \beta, \gamma, \delta$ such that $\alpha+\beta+\gamma+\delta = 1$ and $\alpha\beta+\alpha\gamma+\alpha\delta+\beta\gamma+\beta\delta+\gamma\delta = 2$ . If the sum of the squares of the roots is 3, what is the value of $b$ ?