MathDB
Problems
Contests
Undergraduate contests
Putnam
2014 Putnam
4
Putnam 2014 B4
Putnam 2014 B4
Source:
December 8, 2014
Putnam
algebra
polynomial
inequalities
calculus
Putnam 2014
Problem Statement
Show that for each positive integer
n
,
n,
n
,
all the roots of the polynomial
∑
k
=
0
n
2
k
(
n
−
k
)
x
k
\sum_{k=0}^n 2^{k(n-k)}x^k
k
=
0
∑
n
2
k
(
n
−
k
)
x
k
are real numbers.
Back to Problems
View on AoPS