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2020 Serbia National Math Olympiad
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Part of
2020 Serbia National Math Olympiad
Problems
(1)
Monic Polynomial Divisibility
Source: 2020 Serbian MO, Problem 1
9/26/2020
Find all monic polynomials
P
(
x
)
P(x)
P
(
x
)
such that the polynomial
P
(
x
)
2
ā
1
P(x)^2-1
P
(
x
)
2
ā
1
is divisible by the polynomial
P
(
x
+
1
)
P(x+1)
P
(
x
+
1
)
.
algebra
polynomial