# polynomial

[pol-uh-noh-mee-uh l] /ˌpɒl əˈnoʊ mi əl/
1.
consisting of or characterized by two or more names or terms.
noun
2.
Algebra.
1. (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: ax 2 + bx + c is a polynomial, where a, b, and c are constants and x is a variable.
2. a similar expression in more than one variable, as 4 x 2 y 3 − 3 xy + 5 x + 7.
3. Now Rare.. Also called multinomial. any expression consisting of the sum of two or more terms, as 4 x 3 + cos x.
3.
a polynomial name or term.
4.
Biology. a species name containing more than two terms.
Origin of polynomial
1665-1675
1665-75; poly- + (bi)nomial
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2016.
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Examples from the Web for polynomial
Historical Examples
• The last case arises when we consider the finite values of z for which the polynomial coefficient of sn vanishes.

• The two dots at the end are frequently omitted when the part affected includes all the terms of the polynomial to the end.

Florian Cajori
• But the polynomial method as a system was of short duration.

David Starr Jordan
• This polynomial expression was shortened by Linnæus to Zeus faber.

David Starr Jordan
British Dictionary definitions for polynomial

## polynomial

/ˌpɒlɪˈnəʊmɪəl/
1.
of, consisting of, or referring to two or more names or terms
noun
2.
1. a mathematical expression consisting of a sum of terms each of which is the product of a constant and one or more variables raised to a positive or zero integral power. For one variable, x, the general form is given by: a0xn + a1xn–1 + … + an–1x + an, where a0, a1, etc, are real numbers
2. Also called multinomial. any mathematical expression consisting of the sum of a number of terms
3.
(biology) a taxonomic name consisting of more than two terms, such as Parus major minor in which minor designates the subspecies
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for polynomial

1670s (n.), 1704 (adj.), irregularly formed from poly- + stem of binomial.

Online Etymology Dictionary, © 2010 Douglas Harper
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polynomial in Science
 polynomial   (pŏl'ē-nō'mē-əl)    An algebraic expression that is the sum of two or more monomials. The expressions x2 - 4 and 5x4 + 2x3 - x + 7 are both polynomials.
The American Heritage® Science Dictionary
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polynomial in Technology

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.

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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### Difficulty index for polynomial

Few English speakers likely know this word

### Word Value for polynomial

0
21
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