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Poland - Second Round
1956 Poland - Second Round
1
x^3 + y^3 + z^3 + mxyz divisible by x + y + z
x^3 + y^3 + z^3 + mxyz divisible by x + y + z
Source: Polish MO second round 1956 p1
August 29, 2024
algebra
polynomial
Problem Statement
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
?
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