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BALKAN 1994 Problem 2

  • Paper

Let nn be an integer. Prove that the polynomial f(x)f(x) has at most one zero, where f(x)=x4−1994x3+(1993+n)x2−11x+n.f(x) = x^4 - 1994 x^3 + (1993+n)x^2 - 11x + n . Greece

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