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National and Regional Contests
Russia Contests
All-Russian Olympiad Regional Round
1994 All-Russian Olympiad Regional Round
10.6
10.6
Part of
1994 All-Russian Olympiad Regional Round
Problems
(1)
P(19) = P(94) = 1994. All-Russian MO 1994 Regional (R4) 10.6
Source:
8/26/2024
Find the free coefficient of the polynomial
P
(
x
)
P(x)
P
(
x
)
with integer coefficients, knowing that it is less than
1000
1000
1000
in absolute value and that
P
(
19
)
=
P
(
94
)
=
1994
P(19) = P(94) = 1994
P
(
19
)
=
P
(
94
)
=
1994
.
algebra
polynomial
Integer Polynomial