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Baltic Way
2008 Baltic Way
4
4
Part of
2008 Baltic Way
Problems
(1)
nice polyminal
Source: baltic way 2008
11/14/2008
The polynomial
P
P
P
has integer coefficients and
P
(
x
)
=
5
P(x)=5
P
(
x
)
=
5
for five different integers
x
x
x
. Show that there is no integer
x
x
x
such that
−
6
≤
P
(
x
)
≤
4
-6\le P(x)\le 4
−
6
≤
P
(
x
)
≤
4
or
6
≤
P
(
x
)
≤
16
6\le P(x)\le 16
6
≤
P
(
x
)
≤
16
.
algebra
polynomial
algebra unsolved