Given two polynomials $f$ and $g$ of degree at most $n$, their **degree-$n$ Bezout matrix ** is the $n\times n$ matrix $(c_{ij})$ where
\[ \frac{f(x)g(y)-f(y)g(x)}{x-y} = \sum_{i,j=1}^n c_{ij} x^i y^{j}.\]
The determinant of this matrix is the resultant of the two polynomials.

**Authors:**

**Knowl status:**

- Review status: beta
- Last edited by Wanlin Li on 2019-09-20 16:48:49

**Referred to by:**

**History:**(expand/hide all)

- 2019-09-20 16:48:49 by Wanlin Li
- 2019-05-04 21:17:00 by Andrew Sutherland
- 2017-11-06 15:57:02 by John Jones

**Differences**(show/hide)