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National and Regional Contests
Moldova Contests
Chisinau City MO
1976 Chisinau City MO
121
121
Part of
1976 Chisinau City MO
Problems
(1)
Chisinau MO p121 1976 VIII integer P(x) has no integer roots
Source:
3/16/2021
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.
algebra
odd
polynomial
Integer