Difference between revisions of "1970 Canadian MO Problems/Problem 10"
(Created page with "== Problem == Given the polynomial <math>f(x)=x^n+a_{1}x^{n-1}+a_{2}x^{n-2}+\cdots+a_{n-1}x+a_n</math> with integer coefficients <math>a_1,a_2,\ldots,a_n</math>, and given also ...") |
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Revision as of 04:04, 8 October 2014
Problem
Given the polynomial with integer coefficients
, and given also that there exist four distinct integers
and
such that
, show that there is no integer
such that
.