Ononot — If the polynomial P(x) = x^3 + ax^2 + bx + c has roots \alph

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Polynomialshard

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If the polynomial $P(x) = x^3 + ax^2 + bx + c$ has roots $\alpha, \beta, \gamma$ such that $\alpha + \beta + \gamma = 6$ , $\alpha\beta + \beta\gamma + \gamma\alpha = 11$ , and $\alpha\beta\gamma = 6$ , what is the value of $P(1)$ ?