Bézout's theorem

proper noun

A statement in algebraic geometry concerning the number of common zeros of n polynomials in n indeterminates. In its original form, the theorem states that in general the number of common zeros equals the product of the degrees of the polynomials.

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Meanings

proper noun
  1. mathematicsA statement in algebraic geometry concerning the number of common zeros of n polynomials in n indeterminates. In its original form, the theorem states that in general the number of common zeros equals the product of the degrees of the polynomials.

Origin

Named after Étienne Bézout.

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Cite this entry
APA

Bézout's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/B%C3%A9zout's%20theorem

MLA

“Bézout's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/B%C3%A9zout's%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Bézout's theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/B%C3%A9zout's%20theorem.

Source: Bézout's theorem on Wiktionary, CC BY-SA 4.0.