Polynomial

Algebra Level 5

The roots of the polynomial \( P (x) = x^{4} - x^{3} - x^{2}-1\) are \( a, b, c,\) and \(d. \) If \(f(x) = x^{6} - x^{5} - x^{3} - x^{2} - x,\) what is the value of \(f(a) + f(b) + f(c) + f(d)?\)

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