Word.ws English Dictionary

Bézout's theorem

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.

Proper noun

Bézout's theorem

  1. 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.

Origin of Bézout's theorem

Named after Étienne Bézout.

Questions about Bézout's theorem

What does Bézout's theorem mean?
Bézout's theorem means 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.
What part of speech is Bézout's theorem?
Bézout's theorem is a proper noun.

Words near Bézout's theorem in the dictionary

  1. Béziers
  2. Bézout
  3. Bézout domain
  4. Bézout's identity
  5. Bézout's lemma
  6. Bézout's theorem
  7. bêche de mer
  8. bêche-de-mer
  9. bêches-de-mer
  10. bête noir
  11. bête noire

Source and license

Adapted from Wiktionary: Bézout's theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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