polynomial etymology

Etymology

The word "polynomial" is derived from the Greek words "poly," meaning "many," and "nomos," meaning "part" or "term."

Meaning

A polynomial is a mathematical expression that consists of a sum of terms, each of which is a constant or a variable raised to a non-negative integer power.

Origin

The term "polynomial" was first used in the 17th century by the French mathematician René Descartes in his book "La Géométrie." Descartes used the term to describe mathematical expressions that were more complex than monomials and binomials.

Definition

Formally, a polynomial is an expression of the form:

P(x) = a_0 + a_1x + a_2x^2 + ... + a_nx^n

where:

• P(x) is the polynomial
• x is the variable
• a0, a1, ..., a_n are constants
• n is a non-negative integer

Examples

Some examples of polynomials include:

• 2x^3 + 5x^2 - 1
• x^2 + 2x - 3
• 12

Properties

• Polynomials are closed under addition, subtraction, and multiplication.
• The degree of a polynomial is the highest power of the variable that appears in it.
• Polynomials can be factorized into products of smaller polynomials.
• Polynomials can be used to solve a variety of mathematical problems, such as finding roots of equations and integrals.

polynomial relate terms

• binomial

  Etymology From New Latin binomialis from bini two nominalis of names Mean

• poly

  Etymology The word poly comes from the Greek word polys which means many Meaning

• multi

  Etymology The word multi originates from the Latin multus meaning many Meaning

• polymer

  Etymology The word polymer is derived from the Greek words poly meaning many and

• quadratic

  Etymology The word quadratic is derived from the Latin word quadratus which means s

• function

  Etymology is the study of the history of words including their origins forms and meanin

• series

  Etymology Latin series Old French serie Middle English serie Meaning A su

• Creole

  Etymology The word creole is derived from the Spanish and Portuguese word criollo wh

• solution

  Etymology The word solution is derived from the Latin word solutio which means loo

• performance

  Etymology From Medieval Latin performantia from Latin perfōrmāre meaning to perform

• hamartia

  Etymology Greek ἁμαρτία hamartía meaning error wrongdoing or sin

• epithet

  Epithet Etymology Derived from the Greek word epítheton meaning something added on

• perspective

  Etymology Perspective comes from the Latin word perspicere which means to see throu