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National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2015 India PRMO
5
PRMO 2015. p5.
PRMO 2015. p5.
Source:
April 9, 2024
polynomial
algebra
Integers
Problem Statement
5.
5.
5.
Let
P
(
x
)
P(x)
P
(
x
)
be a non - zero polynomial with integer coefficients. If
P
(
n
)
P(n)
P
(
n
)
is divisible by
n
n
n
for each integer polynomial
n
.
n.
n
.
What is the value of
P
(
0
)
?
P(0) ?
P
(
0
)?
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