MathDB
Problems
Contests
International Contests
Baltic Way
2021 Baltic Way
19
19
Part of
2021 Baltic Way
Problems
(1)
Easy oly poly divisibility
Source: Baltic Way 2021, Problem 19
11/15/2021
Find all polynomials
p
p
p
with integer coefficients such that the number
p
(
a
)
−
p
(
b
)
p(a) - p(b)
p
(
a
)
−
p
(
b
)
is divisible by
a
+
b
a + b
a
+
b
for all integers
a
,
b
a, b
a
,
b
, provided that
a
+
b
≠
0
a + b \neq 0
a
+
b
=
0
.
number theory
number theory proposed
Polynomials