1971 Canadian MO Problems/Problem 5

Revision as of 14:52, 12 September 2012 by 1=2 (talk | contribs) (I LEAVE THIS PROBLEM OPEN. COME SOLVE IT.)

Problem

Let $p(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x+a_0$, where the coefficients $a_i$ are integers. If $p(0)$ and $p(1)$ are both odd, show that $p(x)$ has no integral roots.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also