Jump to content

Talk:Hudde's rules

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia

Rule 1 and the "modern theorem"

[edit]

The definition of the polynomial numbers the coefficients just opposite to the way we define it at Polynomial#Definition and anywhere else throughout Wikipedia, which makes summation and derivation more cumbersome. Instead, I would just go with the common definition and write (if the expanded form with dots is even necessary):

and similarly

This then lends itself, since the form an arithmetic progression, to the simplification

Thus showing the connection to the "modern theorem". But what's the name of the "modern theorem"; is it covered anywhere? (Maybe in its generalized form for any multiple roots.) ◄ Sebastian 21:05, 12 April 2018 (UTC)[reply]