Meaning & Definition of word "Polynomial"

Polynomial

/ˌpɒlɪˈnəʊmiəl/

noun:

  • 1. A mathematical expression consisting of variables, coefficients, and exponents, where the variables are raised to non-negative integer powers.
    • Example: The expression 4x^3 + 2x^2 - x + 6 is a polynomial.
  • 2. A finite sum of monomials, where each monomial is a product of a constant and a variable raised to a non-negative integer power.
    • Example: In algebra, students learn to factor polynomials in various forms.
  • 3. An algebraic expression with one or more terms which can involve addition, subtraction, multiplication, and positive integer exponents.
    • Example: A common task in calculus is to differentiate polynomials.

Etymology

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

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.

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.