Meaning & Definition of Polynomial in English

Detailed Definitions

• Definition: A mathematical expression that is the sum of one or more terms, each term being a product of a constant coefficient and a variable raised to a non-negative integer exponent.

  Example Sentence: The equation x^2 + 3x + 2 is a quadratic polynomial.

• Definition: A function that is defined by a polynomial expression.

  Example Sentence: The polynomial f(x) = 2x^3 + x - 5 represents a cubic function.

• Definition: The polynomial ring over a field, in which coefficients are taken from the field.

  Example Sentence: In algebra, we study the properties of polynomial rings.

Etymology

Origin: From the Greek 'poly' meaning 'many' and 'nomial' meaning 'terms'.

Synonyms

Common Phrases and Expressions

• polynomial equation: An equation where the highest power of the variable(s) is a non-negative integer.
• polynomial function: A function represented by a polynomial expression.
• degree of a polynomial: The highest exponent of the variable in a polynomial.

Translations

• Spanish: polinómico

• French: polynomial

• German: polynomiell

• Russian: полином

Related Words

• monomial: A polynomial with a single term.

• binomial: A polynomial with two terms.

• trinomial: A polynomial with three terms.

Slang Meanings of polynomial

• Meaning: Polynomials can sometimes be referred to as 'poly' in casual contexts.

  Example Sentence: In my math class, we were solving some poly equations.

• Meaning: The term 'poly' can also indicate complexity in discussions among students.

  Example Sentence: Those poly problems really got me stumped.