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Moscow Mathematical Olympiad
1952 Moscow Mathematical Olympiad
232
232
Part of
1952 Moscow Mathematical Olympiad
Problems
(1)
MMO 232 Moscow MO 1952 2x^{2m}+ax^m+3 do not / 3x^{2n}+ax^n+2
Source:
8/8/2019
Prove that for any integer
a
a
a
the polynomial
3
x
2
n
+
a
x
n
+
2
3x^{2n}+ax^n+2
3
x
2
n
+
a
x
n
+
2
cannot be divided by
2
x
2
m
+
a
x
m
+
3
2x^{2m}+ax^m+3
2
x
2
m
+
a
x
m
+
3
without a remainder.
polynomial
Divide
algebra