Polynomial and Quadratic

Polynomial

In mathematics, a polynomial is an expression of finite length constructed from variables (also called indeterminates) and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

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. 1. Containing many names or terms; multinominal; as, the polynomial theorem. [1913 Webster] 2. Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature. [1913 Webster]

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}. [1913 Webster]

polynomial 1. An arithmetic expression composed by summing multiples of powers of some variable. P(x) = sum a_i x^i for i = 0 .. N The multipliers, a_i, are known as "{coefficient}s" and N, the highest power of x with a non-zero coefficient, is known as the "degree" of the polynomial. If N=0 then P(x) is constant, if N=1, P(x) is linear in x. N=2 gives a "{quadratic}" and N=3, a "cubic". 2. {polynomial-time}.

Quadratic

In mathematics, the term quadratic describes something that pertains to squares, to the operation of squaring, to terms of the second degree, or equations or formulas that involve such terms.

quadratic adj 1: of or relating to or resembling a square; "quadratic shapes" 2: of or relating to the second power; "quadratic equation" n 1: an equation in which the highest power of an unknown quantity is a square [syn: {quadratic equation}] 2: a polynomial of the second degree [syn: {quadratic polynomial}]

Quadratic \Quad*rat"ic\, a. [Cf. F. quadratique.] [1913 Webster] 1. Of or pertaining to a square, or to squares; resembling a quadrate, or square; square. [1913 Webster] 2. (Crystallog.) Tetragonal. [1913 Webster] 3. (Alg.) Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square. [1913 Webster]

Data Sources:

  • polynomial: WordNet (r) 2.0
  • polynomial: The Collaborative International Dictionary of English v.0.44
  • polynomial: The Collaborative International Dictionary of English v.0.44
  • polynomial: The Free On-line Dictionary of Computing (27 SEP 03)
  • quadratic: WordNet (r) 2.0
  • quadratic: The Collaborative International Dictionary of English v.0.44

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