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Given two polynomials $f$ and $g$ of degree at most $n$, their degree $n$ Bézout 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.

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  • Review status: beta
  • Last edited by Bjorn Poonen on 2022-03-24 17:59:31
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