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Polynomialshard
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Given P(x)=x3−3x+1P(x) = x^3 - 3x + 1P(x)=x3−3x+1 has roots α,β,γ\alpha, \beta, \gammaα,β,γ, calculate 1α2+1β2+1γ2\frac{1}{\alpha^2} + \frac{1}{\beta^2} + \frac{1}{\gamma^2}α21​+β21​+γ21​.