AoPS Wiki talk:Problem of the Day/July 22, 2011
Problem
AoPSWiki:Problem of the Day/July 22, 2011
Solution
If there is only one integer root, if it is in the form , and
is a constant, then
must be a factor of
, the polynomial's constant term, because of the Factor Theorem.
and
are not zeros. Going up from there, we see that
is a zero, so our answer is
.