Ononot — Let P(x) = x^3 + ax^2 + bx + c be a monic polynomial with co

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Polynomialshard

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Let $P(x) = x^3 + ax^2 + bx + c$ be a monic polynomial with complex roots $\alpha, \beta, \gamma$ . If $\alpha^2 + \beta^2 + \gamma^2 = 0$ and $\alpha^3 + \beta^3 + \gamma^3 = 3$ , what is the coefficient $b$ ?