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Spain Mathematical Olympiad
1981 Spain Mathematical Olympiad
8
8
Part of
1981 Spain Mathematical Olympiad
Problems
(1)
a^4 + 4a^3 + 11a^2 + 6a+ 2 a sum of 3 squares and divisible by 4 for odd a
Source: Spanish Mathematical Olympiad 1981 P8
12/23/2022
If
a
a
a
is an odd number, show that
a
4
+
4
a
3
+
11
a
2
+
6
a
+
2
a^4 + 4a^3 + 11a^2 + 6a+ 2
a
4
+
4
a
3
+
11
a
2
+
6
a
+
2
is a sum of three squares and is divisible by
4
4
4
.
number theory
Sum of Squares
divisible