MathDB

5

Part of 2013 Poland - Second Round

Problems(1)

Polynomial of integer coefficients

Source: 64 Polish MO 2013 Second Round - Problem 5

4/21/2018
Let W(x)W(x) be a polynomial of integer coefficients such that for any pair of different rational number r1r_1, r2r_2 dependence W(r1)≠W(r2)W(r_1) \neq W(r_2) is true. Decide, whether the assuptions imply that for any pair of different real numbers t1t_1, t2t_2 dependence W(t1)≠W(t2)W(t_1) \neq W(t_2) is true.
algebrapolynomialrational numberPoland