AoPS Wiki talk:Problem of the Day/July 22, 2011

Revision as of 21:28, 21 July 2011 by Kingofmath101 (talk | contribs) (July 22, 2011, Problem of the Day solution)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Solution: If there is only one integer root, if it is in the form $x - y$, and $y$ is a constant, then $y$ must be a factor of $25$, the polynomial's constant term, because of the Factor Theorem. $-1$ and $1$ are not zeros. Going up from there, we see that $5$ is a zero, so our answer is $5$.

Invalid username
Login to AoPS