MathDB
Problems
Contests
National and Regional Contests
Italy Contests
ITAMO
1987 ITAMO
1
3x^5 +5x^3 -8x is divisible by 120
3x^5 +5x^3 -8x is divisible by 120
Source: ITAMO 1987 p1
February 2, 2020
number theory
divisible
Problem Statement
Show that
3
x
5
+
5
x
3
ā
8
x
3x^5 +5x^3 -8x
3
x
5
+
5
x
3
ā
8
x
is divisible by
120
120
120
for any integer
x
x
x
Back to Problems
View on AoPS