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2024 Mathematical Talent Reward Programme
9
MTRP OBJECTIVE Q9
MTRP OBJECTIVE Q9
Source: MTRP 2024
March 16, 2024
algebra
polynomial
Problem Statement
Find the number of integer polynomials
P
P
P
such that
P
(
x
)
2
=
P
(
P
(
x
)
)
ā
x
P(x)^2 = P(P(x)) \forall x
P
(
x
)
2
=
P
(
P
(
x
))
ā
x
.
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