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Putnam
2022 Putnam
A2
2022 Putnam A2
2022 Putnam A2
Source:
December 4, 2022
Putnam
Putnam 2022
Problem Statement
Let
n
n
n
be an integer with
n
≥
2.
n\geq 2.
n
≥
2.
Over all real polynomials
p
(
x
)
p(x)
p
(
x
)
of degree
n
,
n,
n
,
what is the largest possible number of negative coefficients of
p
(
x
)
2
?
p(x)^2?
p
(
x
)
2
?
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