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Greece Contests
Greece National Olympiad
1994 Greece National Olympiad
2
2
Part of
1994 Greece National Olympiad
Problems
(1)
2 integer roots for x^3+1995x^2-1994x+m
Source: 1993 Greece MO p2
9/6/2024
Fow which real values of
m
m
m
does the polynomial
x
3
+
1995
x
2
ā
1994
x
+
m
x^3+1995x^2-1994x+m
x
3
+
1995
x
2
ā
1994
x
+
m
have all three roots integers?
algebra
polynomial