# JEE Polynomial 3

Algebra Level 5

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

Find the value of $$P(\alpha) + P(\beta) + P(\gamma) + P( \delta)$$

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