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3

Part of 1974 Polish MO Finals

Problems(1)

x^2 - rx- 1

Source: Polish MO Finals 1974 p3

8/23/2024
Let rr be a natural number. Prove that the quadratic trinomial x2−rx−1x^2 - rx- 1 does not divide any nonzero polynomial whose coefficients are integers with absolute values less than rr.
algebrapolynomialquadratic polynomial