MathDB
Problems
Contests
Undergraduate contests
Putnam
2022 Putnam
A2
A2
Part of
2022 Putnam
Problems
(1)
2022 Putnam A2
Source:
12/4/2022
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
?
Putnam
Putnam 2022