Phrase guide

homogeneous polynomial

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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No pronunciation record was provided for this word.

1

noun

Meaning 1

a polynomial such that the sum of the exponents of the variables is the same for every term.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • x3+x2y+xy2+y3

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

a polynomial consisting of terms all of the same degree

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: polynomial, multinomial

Narrower terms: quantic

History

Etymology

No etymology was provided for this word.

Across languages

Translations

8 source translations are retained for this English entry.

  • Chinese Mandarin: 齐次多项式 (qícì duōxiàngshì) — mathematics: polynomial such that the sum of the exponents of the variables is the same for every term
  • Finnish: homogeeninen polynomi — mathematics: polynomial such that the sum of the exponents of the variables is the same for every term
  • German: homogenes Polynom — mathematics: polynomial such that the sum of the exponents of the variables is the same for every term
  • Icelandic: einsleit margliða — mathematics: polynomial such that the sum of the exponents of the variables is the same for every term
  • Icelandic: jafnþætt margliða — mathematics: polynomial such that the sum of the exponents of the variables is the same for every term
  • Icelandic: form — mathematics: polynomial such that the sum of the exponents of the variables is the same for every term
  • Polish: wielomian jednorodny — mathematics: polynomial such that the sum of the exponents of the variables is the same for every term
  • Tagalog: tulad-uriing damikay — mathematics: polynomial such that the sum of the exponents of the variables is the same for every term