polynomial
/ˌpɒlɪˈnəʊmɪəl/US/ˌpɑliˈnoʊmiəl/
polynomial noun: an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰.
Noun
polynomial (plural polynomials)
- An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰.
- Unfortunately, an analogous attack on the octic polynomial becomes exceedingly complicated.1999, William Dunham, Euler: The Master of Us All, Mathematical Association of America, published 1999, page 116
- Our upper bound is the best possible, and it implies the existence of low-rank factorizations of positive semidefinite bivariate matrix polynomials and representations of biforms as sums of few squares.2016, Grigoriy Blekherman, Daniel Plaumann, Rainer Sinn, Cynthia Vinzant, “Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree”, in arXiv
- A taxonomic designation (such as of a subspecies) consisting of more than two terms.
- A type of term consisting of multiple parts.
- Alternatively, there are polynomials denoting stages of the day: tónglóng 曈昽 “ light at daybreak”; or meteorological phenomena, such as wùsōng 雾凇 “(soft) rime”, àidài 叆叇 “ (of clouds) dense”.2023, Martina Jemelková, “On the Nature of Zero-Meaning Sinograms: Typology and Thematic Classification”, in Studia Orientalia Slovaca, volume 22, number 2
- The same corpus is used as in the analysis of the thematic scope of polynomials, except that in this case only 720 binomes will be considered.2025, Martina Jemelková, “Chinese Binomes: A Graphical or Phonological Construct?”, in Acta Linguistica Asiatica, volume 15, number 2, →DOI
Adjective
polynomial (not comparable)
polynomial meaning in Hindi, Tamil, Marathi and Bengali
polynomial in Hindi
- algebraic expression
- बहुपद bahupad
polynomial in Tamil
- பல்லுறுப்புக்கோவை, அடுக்குக்கோவை, பல்லுறுப்புக் கோவை, பல சொல் பெயரிடுமுறை
polynomial in Marathi
- बहुपदी, बहुपद, बहुपदा
polynomial in Bengali
- বহুপদী, পলিনোমিয়াল, বহুপদ
More languagesFewer languages
- polynomial in Telugu
- బహుపది, పాలినోమియల్, పాలినామియల్
- polynomial in Malayalam
- ബഹുപദം bahupadaṁ
- polynomial in Kannada
- ಹಲವಿಡಿ ಸರಿಕೆ
- polynomial in Punjabi
- ਪੋਲੀਨੋਮੀਅਲ, ਬਹੁਪਦ
- polynomial in Gujarati
- બહુપદી, પોલીનોમીયલ, બહુપદ
- polynomial in Odia
- ବହୁପଦୀ, ବହୁପଦ, ପଲିନୋମିଆଲ୍
- polynomial in Nepali
- बहुपद, बहुपदी, बहुपदि
- polynomial in Tagalog
- damikay
- polynomial in Thai
- พหุนาม pá-hù-naam
- polynomial in Vietnamese
- đa thức
- polynomial in Myanmar
- ကိန်းစုတန်း kin:cu.tan:
Examples of polynomial in a sentence
- The zeroes of a polynomial are its roots by the fundamental theorem of algebra.
- With angelic non-determinism, any problem in NP would be solvable in polynomial time.
- The professor of complexity theory says that the problem can be solved in polynomial time.
Forms of polynomial
| plural | polynomials |
|---|
Origin of polynomial
From poly- + -nomial, from νομός (nomós, “portion, part”), by analogy with binomial.
Words formed from polynomial
- Abel polynomial
- Alexander-Conway polynomial
- Alexander polynomial
- all-one polynomial
- Bell polynomial
- Bernoulli polynomial
- Bernstein basis polynomial
- Boas-Buck polynomial
- characteristic polynomial
- complementary nondeterministic polynomial
- Conway-Alexander polynomial
- Conway polynomial
- cyclotomic polynomial
- Dickson polynomial
- eigenpolynomial
- elementary symmetric polynomial
- Fibonacci polynomial
- Hermite polynomial
- homogenous polynomial
- hyperbolic polynomial
- Jacobi polynomial
- Jones polynomial
- Kazhdan-Lusztig polynomial
- Lagrange polynomial
- Laguerre polynomial
- Laurent polynomial
- Legendre polynomial
- Lucas polynomial
- Macdonald polynomial
- Maclaurin polynomial
- minimal polynomial
- Mittag-Leffler polynomial
- Narumi polynomial
- nonpolynomial
- nonuniform polynomial time
- Pidduck polynomial
- polynomial algebra
- polynomial basis
- polynomial complexity
- polynomial equation
- polynomial form
- polynomial function
- polynomial interpolation
- polynomialism
- polynomialist
- polynomiality
- polynomially
- polynomial reduction
- polynomial ring
- polynomial sequence
- polynomial time
- polynomial time-reduction
- polynomial-time reduction
- polynomiography
- posynomial
- primitive polynomial
- pseudopolynomial
- pseudo-polynomial time
- quasipolynomial
- rook polynomial
Phrases with polynomial
Questions about polynomial
- What does polynomial mean?
- Polynomial means an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰.
- What is polynomial in Hindi?
- Polynomial in Hindi is बहुपद (bahupad). See Polynomial meaning in Hindi.
- What part of speech is polynomial?
- Polynomial can be a noun or an adjective.
- How do you pronounce polynomial?
- Polynomial is pronounced /ˌpɒlɪˈnəʊmɪəl/ (UK).
- What is the plural of polynomial?
- The plural of polynomial is polynomials.
Words near polynomial in the dictionary
Source and license
Adapted from Wiktionary: polynomial (page history and authors); polynomial (Tamil Wiktionary) (page history and authors); polynomial (Marathi, IndicTrans2 machine translation) (model and license); polynomial (Bengali, IndicTrans2 machine translation) (model and license); polynomial (Telugu, IndicTrans2 machine translation) (model and license); polynomial (Kannada Wiktionary) (page history and authors); polynomial (Punjabi, IndicTrans2 machine translation) (model and license); polynomial (Gujarati, IndicTrans2 machine translation) (model and license); polynomial (Odia, IndicTrans2 machine translation) (model and license); polynomial (Nepali, IndicTrans2 machine translation) (model and license). 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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Pronunciation audio from Wikimedia Commons, each file under its own free license: LL-Q1860 (eng)-Vealhurl-polynomial.wav.
Cite this entry: “polynomial.” Word.ws, https://word.ws/polynomial. Based on Wiktionary, CC BY-SA 4.0.