Difference between revisions of "Vieta's Formulas"
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Revision as of 00:26, 19 June 2006
Contents
Background
Let ,
where the coefficient of
is
. As a consequence of the Fundamental Theorem of Algebra, we can also write
, where
are the roots of
.
Also, let be the
th symmetric sum.
Statement
, for
.
Proof
[needs to be added]