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Tuymaada 2022
Tuymaada 2022
Source: Tuymaada 2022 Junior P-2
September 12, 2022
number theory
polynomial
Problem Statement
Given are integers
a
,
b
,
c
a, b, c
a
,
b
,
c
and an odd prime
p
.
p.
p
.
Prove that
p
p
p
divides
x
2
+
y
2
+
a
x
+
b
y
+
c
x^2 + y^2 + ax + by + c
x
2
+
y
2
+
a
x
+
b
y
+
c
for some integers
x
x
x
and
y
.
y.
y
.
(A. Golovanov )
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