MathDB
Problems
Contests
National and Regional Contests
Poland Contests
Poland - Second Round
1956 Poland - Second Round
1
1
Part of
1956 Poland - Second Round
Problems
(1)
x^3 + y^3 + z^3 + mxyz divisible by x + y + z
Source: Polish MO second round 1956 p1
8/29/2024
For what value of
m
m
m
is the polynomial
x
3
+
y
3
+
z
3
+
m
x
y
z
x^3 + y^3 + z^3 + mxyz
x
3
+
y
3
+
z
3
+
m
x
yz
divisible by
x
+
y
+
z
x + y + z
x
+
y
+
z
?
algebra
polynomial