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Vojtěch Jarník IMC
2008 VJIMC
Problem 1
complex roots of polynomial
complex roots of polynomial
Source: VJIMC 2008 1.1
June 16, 2021
complex numbers
Polynomials
algebra
polynomial
Problem Statement
Find all complex roots (with multiplicities) of the polynomial
p
(
x
)
=
∑
n
=
1
2008
(
1004
−
∣
1004
−
n
∣
)
x
n
.
p(x)=\sum_{n=1}^{2008}(1004-|1004-n|)x^n.
p
(
x
)
=
n
=
1
∑
2008
(
1004
−
∣1004
−
n
∣
)
x
n
.
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