polynomial: meaning, definition, pronunciation and examples
Low in general usage, but high in academic and technical contexts.Formal, Technical
Quick answer
What does “polynomial” mean?
A mathematical expression consisting of variables and coefficients, involving only addition, subtraction, multiplication, and non-negative integer exponents.
Audio
Pronunciation
Definition
Meaning and Definition
A mathematical expression consisting of variables and coefficients, involving only addition, subtraction, multiplication, and non-negative integer exponents.
In broader contexts, refers to concepts related to polynomials, such as polynomial functions in algebra or polynomial time in computer science.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or usage; pronunciation varies slightly.
Connotations
Strictly mathematical with no additional connotations in both variants.
Frequency
Equally frequent in mathematical and scientific discourse in both regions.
Grammar
How to Use “polynomial” in a Sentence
polynomial of degree npolynomial in variable xpolynomial with coefficientsVocabulary
Collocations
Examples
Examples of “polynomial” in a Sentence
adjective
British English
- The polynomial equation was solved using the quadratic formula.
- We analysed polynomial functions in our maths class.
American English
- This polynomial expression can be simplified by factoring.
- Polynomial time algorithms are key in computer science.
Usage
Meaning in Context
Business
Rarely used; may appear in technical reports or data analysis contexts.
Academic
Common in mathematics, engineering, and computer science education and research.
Everyday
Almost never used in casual conversation.
Technical
Frequently used in technical discussions, especially in algebra, calculus, and algorithm analysis.
Vocabulary
Synonyms of “polynomial”
Vocabulary
Antonyms of “polynomial”
Watch out
Common Mistakes When Using “polynomial”
- Confusing 'polynomial' with 'polynomial function'.
- Misspelling as 'polynominal' or 'polynomial'.
- Using it inappropriately in non-mathematical contexts.
FAQ
Frequently Asked Questions
A polynomial is an algebraic expression, while a polynomial function is a function defined by evaluating a polynomial. They are related but distinct concepts.
No, by definition, polynomials cannot have variables in the denominator or negative exponents; such expressions are rational functions, not polynomials.
No, it is a specialized term primarily used in mathematics, science, and engineering contexts.
In British English, it is pronounced as /ˌpɒl.ɪˈnəʊ.mi.əl/.
A mathematical expression consisting of variables and coefficients, involving only addition, subtraction, multiplication, and non-negative integer exponents.
Polynomial is usually formal, technical in register.
Learning
Memory Aids
Mnemonic
Remember: 'Poly' means many, and 'nomial' comes from 'name', so a polynomial has many named terms with variables.
Conceptual Metaphor
Often viewed as a 'building block' or 'tool' in algebra for modeling relationships.
Practice
Quiz
What best describes a polynomial?