polynomial Definition
an expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
Using polynomial: Examples
Take a moment to familiarize yourself with how "polynomial" can be used in various situations through the following examples!
Example
The polynomial x² + 2x - 3 can be factored into (x + 3)(x - 1).
Example
The degree of a polynomial is the highest power of its variable.
Example
Polynomials are used in many areas of mathematics, including algebra, calculus, and geometry.
polynomial Synonyms and Antonyms
Synonyms for polynomial
Phrases with polynomial
a polynomial of degree two
Example
The quadratic polynomial ax² + bx + c can be solved using the quadratic formula.
a polynomial of degree three
Example
The cubic polynomial ax³ + bx² + cx + d can be solved using the cubic formula.
a polynomial with only one term
Example
The monomial 3x² represents a polynomial with degree two and a coefficient of 3.
Origins of polynomial
from poly- 'many' + Greek nomos 'term' + -ial
Summary: polynomial in Brief
A 'polynomial' [ˌpɒlɪˈnəʊmɪəl] is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, operated by addition, subtraction, and multiplication. It is used in various fields of mathematics such as algebra, calculus, and geometry. Examples include x² + 2x - 3 and ax³ + bx² + cx + d. The degree of a polynomial is the highest power of its variable.
