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All-Russian Olympiad
1986 All Soviet Union Mathematical Olympiad
439
439
Part of
1986 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 439 All Soviet Union MO 1986 P(2) = n, coefficients are 0, 1, 2 ,3.
Source:
8/7/2019
Let us call a polynomial admissible if all it's coefficients are
0
,
1
,
2
0, 1, 2
0
,
1
,
2
or
3
3
3
. For given
n
n
n
find the number of all the admissible polynomials
P
P
P
such, that
P
(
2
)
=
n
P(2) = n
P
(
2
)
=
n
.
polynomial
algebra
Integer Polynomial