General Theory of Algebraic Equations by Bézout Etienne; Feron Eric; Bézout Etienne

Author:Bézout, Etienne; Feron, Eric; Bézout, Etienne
Language: eng
Format: epub
Publisher: Princeton University Press

The number of coefficients that are useless for elimination purposes is Thus one of the coefficients can be chosen arbitrarily, but since there is no particular reason to choose that coefficient in one polynomial rather than another, I choose this coefficient by adding a new arbitrary equation that is symmetric with respect to the two equations. Although the choice of this equation is rather arbitrary, I prefer to choose an equation that can help cancel a few coefficients. I would rather assume, for example, etc., because making such an assumption, combined with the equation we get to cancel the term will give and .

This being done, we need to compute the value of . Following the terms and y, I get the following

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