JEE Polynomial 3

Algebra Level 5

Let P(x)=x6x5x3x2xP(x)= x^{6}-x^{5}-x^{3}-x^{2}-x and denote α,β,γ,δ \alpha , \beta , \gamma , \delta to be the roots of the equation x4x3x21=0x^{4}-x^{3}-x^{2}-1=0

Find the value of P(α)+P(β)+P(γ)+P(δ) P(\alpha) + P(\beta) + P(\gamma) + P( \delta)

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