Difference between revisions of "1997 USAMO Problems/Problem 3"

m (added solution tag, USAMO box, and category.)
m
Line 5: Line 5:
 
{{solution}}
 
{{solution}}
 
== See Also ==
 
== See Also ==
{{USAMO box|year=1997|num-b=2|num-a=4}}
+
{{USAMO newbox|year=1997|num-b=2|num-a=4}}
  
 
[[Category:Olympiad Algebra Problems]]
 
[[Category:Olympiad Algebra Problems]]

Revision as of 17:13, 12 April 2012

Problem

Prove that for any integer $n$, there exists a unique polynomial $Q$ with coefficients in $\{0,1,...,9\}$ such that $Q(-2)=Q(-5)=n$.

Solution

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

See Also

1997 USAMO (ProblemsResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5 6
All USAMO Problems and Solutions