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1985 IMO Shortlist
11
11
Part of
1985 IMO Shortlist
Problems
(1)
Find a method-IMO Long List P7
Source:
8/28/2010
Find a method by which one can compute the coefficients of
P
(
x
)
=
x
6
+
a
1
x
5
+
⋯
+
a
6
P(x) = x^6 + a_1x^5 + \cdots+ a_6
P
(
x
)
=
x
6
+
a
1
x
5
+
⋯
+
a
6
from the roots of
P
(
x
)
=
0
P(x) = 0
P
(
x
)
=
0
by performing not more than
15
15
15
additions and
15
15
15
multiplications.
algebra
polynomial
roots
algorithm
IMO Shortlist