MathDB
Problems
Contests
National and Regional Contests
Ireland Contests
Ireland National Math Olympiad
2012 Irish Math Olympiad
3
Finding polynomials
Finding polynomials
Source:
April 12, 2017
Polynomials
algebra
polynomial
Combo
Problem Statement
Find, with proof, all polynomials
f
f
f
such that
f
f
f
has nonnegative integer coefficients,
f
f
f
(
1
1
1
) =
8
8
8
and
f
f
f
(
2
2
2
) =
2012
2012
2012
.
Back to Problems
View on AoPS