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polynomial forms

polynomial forms is the plural of polynomial form.

Meaning of polynomial form

Noun

polynomial form (plural polynomial forms)

  1. A linear combination of powers of an indeterminate (or products of powers of more than one indeterminate), with coefficients belonging to an integral domain or a field. (The indeterminate is thought of as an element extraneous to the set of coefficients, instead of as a variable element of it (as in the case of polynomial functions), just as, say, the square root of negative one is an element extraneous to the set of integers when it is adjoined to them to form the domain of Gaussian integers. The indeterminate forms a free commutative monoid, to which all powers of it belong, and the unity of it can also show up implicitly in the constant term of a polynomial form.)

Questions about polynomial forms

What is polynomial forms the plural of?
Polynomial forms is the plural of polynomial form.

Words near polynomial forms in the dictionary

  1. polynomial bases
  2. polynomial basis
  3. polynomial equation
  4. polynomial equations
  5. polynomial form
  6. polynomial forms
  7. polynomial function
  8. polynomial functions
  9. polynomial reduction
  10. polynomial reductions
  11. polynomial ring

Source and license

Adapted from Wiktionary: polynomial forms (page history and authors); polynomial form (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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