Difference between revisions of "Vieta's Formulas"
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− | == Related Links == | + | === See also === |
+ | |||
+ | * [[Algebra]] | ||
+ | * [[Polynomials]] | ||
+ | * [[Newton's identities]] | ||
+ | |||
+ | === Related Links === | ||
[http://mathworld.wolfram.com/VietasFormulas.html Mathworld's Article] | [http://mathworld.wolfram.com/VietasFormulas.html Mathworld's Article] |
Revision as of 10:42, 22 June 2006
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]