What does "irreducible" mean?
Such a polynomial
Irreducible
/ˌɪɹɪˈdjuːsɪbəl/ adj, noun
adj, noun ·Moderate ·College level
Meaning at a glance
- Primary sense: Such a polynomial
- Grammar: irreducible is listed as adj, noun.
- Nearest alternatives: a certain, an, any, any one.
- Useful contrasts: reducible, unincreasable, abatable.
- Usage evidence: This is what I believe: that all of us can be co-workers with God. And our leadership, and our governments, and this United Nations should reflect this irreducible truth.
How to use "irreducible"
- Start with the primary definition, then check the part of speech before placing the word in a sentence.
- Compare nearby synonyms to make sure "irreducible" carries the exact meaning, tone, and strength you need.
- Use the example sentence as a context check. If your sentence uses the word differently, confirm that the grammar still fits.
Meaning check
- Does the word fit the sentence's grammar?
- Does it match the intended tone rather than only the dictionary definition?
- Would a simpler synonym be clearer for the reader?
- Is there enough surrounding context to prevent ambiguity?
Source and review context
This entry combines structured lexical data with WordToolSet review checks. Definitions, examples, synonyms, and usage notes may come from different source tables, so the page is designed to show evidence from more than one angle before you rely on "irreducible" in a final draft.
If a word has several senses, prefer the sense that matches your sentence's grammar and surrounding context. A correct definition can still be the wrong choice when the sentence needs a different register, emphasis, or level of specificity.
Before you rely on this definition
Read the first definition as a starting point, then check the example, synonyms, and part of speech before treating "irreducible" as the right word for your sentence.
If your draft is formal, technical, persuasive, or sensitive, compare "irreducible" with a nearby alternative so the final choice matches both meaning and reader expectation.
Compare nearby meanings
- Use synonyms when you need a softer, stronger, simpler, or more specific word.
- Use antonyms to check the boundary of the meaning and avoid accidental contrast.
- Use the example sentence to confirm the word behaves naturally in context.
- Keep the original wording when a replacement adds complexity without improving precision.
Definition decision workflow
1. Identify the role
Check whether "irreducible" is acting as adj, noun in your sentence. A definition is only useful when the grammar matches the way the word is being used.
2. Test the nearest option
Compare it with "a certain" and other nearby choices to see whether the sentence needs a softer, stronger, or more familiar word.
3. Confirm with context
Use the example sentence below as an evidence check, then read your own sentence out loud to catch tone or rhythm problems.
Review note: Definition pages are checked for source coverage, sentence evidence, synonym support, and editorial insight before they are treated as approval-ready pages. If the evidence is too thin, the page remains available to users but is kept out of the approval-facing indexed inventory.
Final meaning check
Before publishing a sentence with "irreducible", ask whether the word helps the reader understand the idea faster. A precise word should reduce confusion, not simply make the sentence look more polished.
When the definition, synonym evidence, and example context point in the same direction, the word is usually a safer choice. When they conflict, revise the sentence or choose a clearer alternative.
Definitions
Noun
- 1 Such a polynomial
Adjective
- 1 Not able to be reduced or lessened. not-comparable
"With each reduction in the number of railways, there must come, eventually, a decline in interest, if only through reduction in variety; and when it comes to one nationalised railway only we have reached the irreducible minimum."
- 2 Not able to be brought to a simpler or reduced form. not-comparable
- 3 Unable to be factorized into polynomials of lower degree, as (x² + 1). not-comparable
- 4 Whose numerator and denominator share no common factor greater than 1. not-comparable
- 5 Unable to be factored into smaller integers; prime. not-comparable
Show 4 more definitions
- 6 Whose only divisors are units and associates. not-comparable
- 7 Inexpressible as the union of two proper algebraic subvarieties. not-comparable
- 8 Not containing a sphere of codimension 1 that is not the boundary of a ball. not-comparable
- 9 Impossible to divide further into representations of lower dimension by means of any similarity transformation. not-comparable
Adjective
- 1 incapable of being made smaller or simpler wordnet
Synonyms
All synonymsExample
"This is what I believe: that all of us can be co-workers with God. And our leadership, and our governments, and this United Nations should reflect this irreducible truth."
Common questions
What is a synonym for "irreducible"?
Common synonyms include: a certain, an, any, any one, atomic, austere.
How do you use "irreducible" in a sentence?
This is what I believe: that all of us can be co-workers with God. And our leadership, and our governments, and this United Nations should reflect this irreducible truth.
How do you pronounce "irreducible"?
Pronounced /ˌɪɹɪˈdjuːsɪbəl/.
Etymology
From ir- + reducible.