Ononot — Let P(x) = x^3 - 3x + 1. The roots are \alpha, \beta, \gamma

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Polynomialshard

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Let $P(x) = x^3 - 3x + 1$ . The roots are $\alpha, \beta, \gamma$ . Find the value of $\frac{1}{\alpha^2} + \frac{1}{\beta^2} + \frac{1}{\gamma^2}$ .