Vieta's Formulas
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 .
Let be the th symmetric sum.
Statement
, for .
Proof
[needs to be added]
Let , where the coefficient of is . As a consequence of the Fundamental Theorem of Algebra, we can also write
where are the roots of .
Let be the th symmetric sum.
, for .
[needs to be added]
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