MathDB
Problems
Contests
International Contests
IMO Longlists
1985 IMO Longlists
82
H 35
H 35
Source:
May 25, 2007
algebra
polynomial
Diophantine Equations
Problem Statement
Find all cubic polynomials
x
3
+
a
x
2
+
b
x
+
c
x^3 +ax^2 +bx+c
x
3
+
a
x
2
+
b
x
+
c
admitting the rational numbers
a
a
a
,
b
b
b
and
c
c
c
as roots.
Back to Problems
View on AoPS