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Flanders Math Olympiad
2016 Flanders Math Olympiad
4
4
Part of
2016 Flanders Math Olympiad
Problems
(1)
unique polynomial with pos. integer coeeficients (1) = 6, f(2) = 2016
Source: Flanders Math Olympiad 2016 p4
12/24/2022
Prove that there exists a unique polynomial function f with positive integer coefficients such that
f
(
1
)
=
6
f(1) = 6
f
(
1
)
=
6
and
f
(
2
)
=
2016
f(2) = 2016
f
(
2
)
=
2016
.
algebra
polynomial
Integer Polynomial