Dictionary Meaning and Definition on 'Polynomial'
adj : having the character of a polynomial; "a polynomial
expression" [syn: multinomial]
n : a mathematical expression that is the sum of a number of
terms [syn: multinomial]
- Polynomial \Pol`y*no"mi*al\, a.
- Containing many names or terms; multinominal; as, the polynomial theorem.
- Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.
- Polynomial \Pol`y*no"mi*al\, n. [Poly- + -nomial, as in
monomial, binomial: cf. F. polyn[^o]me.] (Alg.)
An expression composed of two or more terms, connected by the
signs plus or minus; as, a^2 - 2ab + b^2.
Wikipedia Meaning and Definition on 'Polynomial'
In mathematics, a polynomial is an expression of finite length constructed from variables (also known as indeterminates) and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents. For example, x2 − 4x + 7 is a polynomial, but x2 − 4/x + 7x3/2 is not, because its second term involves division by the variable x (4/x) and because its third term contains an exponent that is not a whole number (3/2). The term "polynomial" can also be used as an adjective, for quantities that can be expressed as a polynomial of some parameter, as in "polynomial time" which is used in computational complexity theory.
Polynomials appear in a wide variety of areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated problems in the sciences; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus and numerical analysis to approximate other functions. In advanced mathematics, polynomials are used to construct polynomial rings, a central concept in abstract algebra and algebraic geometry.[See more about Polynomial at Dictionary 3.0 Encyclopedia]