Home Competitions AIME 2003b Problem 9
Consider the polynomials P ( x ) = x 6 − x 5 − x 3 − x 2 − x P(x) = x^{6} - x^{5} - x^{3} - x^{2} - x P ( x ) = x 6 − x 5 − x 3 − x 2 − x Q ( x ) = x 4 − x 3 − x 2 − 1. Q(x) = x^{4} - x^{3} - x^{2} - 1. Q ( x ) = x 4 − x 3 − x 2 − 1. z 1 , z 2 , z 3 , z_{1},z_{2},z_{3}, z 1 , z 2 , z 3 , z 4 z_{4} z 4 Q ( x ) = 0 , Q(x) = 0, Q ( x ) = 0 , P ( z 1 ) + P ( z 2 ) + P ( z 3 ) + P ( z 4 ) . P(z_{1}) + P(z_{2}) + P(z_{3}) + P(z_{4}). P ( z 1 ) + P ( z 2 ) + P ( z 3 ) + P ( z 4 ) .
Dataset text AIME 1983 to 2026 . Quoted with source.
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