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General Theory of Algebraic Equations by Etienne Bézout, Eric Feron

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SECTION II

About incomplete polynomials and first-order incomplete equations

(49.) We will not insist on the broad impact of the general theorem (47) about complete equations. We will simply remark that it not gives only a precise expression for the degree of the final equation resulting from an arbitrary number of complete equations with all possible terms and coefficients being present, but also an upper bound on the final degree of any equation, complete or incomplete, which may or may not be reducible due to either the absence of some terms or existing relations among their coefficients.

(50.) As useful as this upper bound may already be, it is far more useful to tighten it even more and even to determine the precise degree of the final ...

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