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ASU 400 All Soviet Union MO 1985 max no integer x so |P(x)|<50, trinomial

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August 5, 2019
trinomialIntegermaximumpolynomialalgebra

Problem Statement

The senior coefficient aa in the square polynomial P(x)=ax2+bx+cP(x) = ax^2 + bx + c is more than 100100. What is the maximal number of integer values of xx, such that ∣P(x)∣<50|P(x)|<50.
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