Common factorizations
Revision as of 12:13, 6 July 2023 by Franklin.vp (talk | contribs) (Typesetting, removing the identity that was not a "factorization", and giving a concrete theme to the third section.)
These are common factorizations.
Contents
[hide]Basic Factorizations
Vieta's/Newton Factorizations
These factorizations are useful for problem that could otherwise be solved by Newton sums or problems that give a polynomial, and ask a question about the roots. Combined with Vieta's formulas, these are excellent, useful factorizations.
Circulant Identities
The matrices above are called circulant matrices. In general, the determinant of a circulant matrix will be a multiple of the sum of the entries in any of its rows/columns.