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Poland - Second Round
1959 Poland - Second Round
1
1
Part of
1959 Poland - Second Round
Problems
(1)
ax^3 + bx^2 + cx + d = 0
Source: Polish MO second round 1959 p1
8/29/2024
What necessary and sufficient condition should the coefficients
a
a
a
,
b
b
b
,
c
c
c
,
d
d
d
satisfy so that the equation
a
x
3
+
b
x
2
+
c
x
+
d
=
0
ax^3 + bx^2 + cx + d = 0
a
x
3
+
b
x
2
+
c
x
+
d
=
0
has two opposite roots?
algebra
polynomial