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Kürschák Math Competition
1993 Kurschak Competition
3
3
Part of
1993 Kurschak Competition
Problems
(1)
Minimize a special polynomial
Source: Kürschák 1993, problem 3
7/20/2014
Let
n
n
n
be a fixed positive integer. Compute over
R
\mathbb{R}
R
the minimum of the following polynomial:
f
(
x
)
=
∑
t
=
0
2
n
(
2
n
+
1
−
t
)
x
t
.
f(x)=\sum_{t=0}^{2n}(2n+1-t)x^t.
f
(
x
)
=
t
=
0
∑
2
n
(
2
n
+
1
−
t
)
x
t
.
algebra
polynomial
algebra unsolved