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7 dictionary results for: polynomial

Dictionary.com Unabridged (v 1.1) - Cite This Source - Share This

pol·y·no·mi·al

[pol-uh-noh-mee-uh

l] Pronunciation Key

–adjective

1.	consisting of or characterized by two or more names or terms.

–noun

Algebra.

a.	(in one variable) an expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power: ax² + bx + c is a polynomial, where a, b, and c are constants and x is a variable.

b.	a similar expression in more than one variable, as 4x²y³ − 3xy + 5x + 7.

c.	Now Rare. Also called multinomial. any expression consisting of the sum of two or more terms, as 4x³ + cos x.

3.	a polynomial name or term.

4.	Biology. a species name containing more than two terms.

[Origin: 1665–75; poly- + (bi)nomial

]

Dictionary.com Unabridged (v 1.1)
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2006.

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American Heritage Dictionary - Cite This Source - Share This

pol·y·no·mi·al   (pŏl'ē-nō'mē-əl) Pronunciation Key
adj.   Of, relating to, or consisting of more than two names or terms.

n.

A taxonomic designation consisting of more than two terms.
Mathematics
1. An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers. For example, x² - 5x + 6 and 2p³q + y are polynomials. Also called multinomial.
2. An expression of two or more terms.

[poly- + (bi)nomial.]

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The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2006 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.

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WordNet - Cite This Source - Share This

polynomial
adjective
1.	having the character of a polynomial; "a polynomial expression"
noun
1.	a mathematical function that is the sum of a number of terms

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The American Heritage Science Dictionary - Cite This Source - Share This

polynomial (pŏl'ē-nō'mē-əl) Pronunciation Key

An algebraic expression that is the sum of two or more monomials. The expressions x² - 4 and 5x⁴ + 2x³ - x + 7 are both polynomials.

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Free On-line Dictionary of Computing - Cite This Source - Share This

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 "coefficients" 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.

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Webster's Revised Unabridged Dictionary - Cite This Source - Share This

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.

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Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Polynomial

Pol`y*no"mi*al\, a. 1. Containing many names or terms; multinominal; as, the polynomial theorem.

2. Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.

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