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Chisinau City MO
1976 Chisinau City MO
121
Chisinau MO p121 1976 VIII integer P(x) has no integer roots
Chisinau MO p121 1976 VIII integer P(x) has no integer roots
Source:
March 16, 2021
algebra
odd
polynomial
Integer
Problem Statement
Prove that the polynomial
P
(
x
)
P (x)
P
(
x
)
with integer coefficients, taking odd values for
x
=
0
x = 0
x
=
0
and
x
=
1
x= 1
x
=
1
, has no integer roots.
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