Vieta's Derivatives

Algebra Level 4

f(x)=x3x22x+1f(x)=x^{3}-x^{2}-2x+1

Let the zeros of the function above be α,β,\alpha,\beta, and γ.\gamma.

Find f(α)×f(β)×f(γ). f'(\alpha)\times f'(\beta)\times f'(\gamma).

Note: f(x)f'(x) denotes the derivative of f(x). f(x).

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