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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

Let a, b, c, d be the roots of x^4 - x^3 - x^2 - 1 = 0 . Also consider P(x) = x^6 - x^5 - x^3 - x^2 - x , then the value of P(a) + P(b) + P(c) + P(d) is equal to :

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6

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