# polynomial

## polynomial

[pol-uh-noh-mee-uhl]
1.
consisting of or characterized by two or more names or terms.
noun
2.
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: ax 2 + 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 4 x 2 y 3 − 3 xy + 5 x + 7.
c.
Now Rare.. Also called 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:
1665–75; poly- + (bi)nomial

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
 polynomial (ˌpɒlɪˈnəʊmɪəl) —adj 1. of, consisting of, or referring to two or more names or terms —n 2. a.  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 b.  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 10th Edition
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American Heritage
Science Dictionary
 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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FOLDOC
Computing Dictionary

### polynomial definition

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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Example sentences
The hat fills with words to warm a coder's heart: bubble sort, polynomial,
integration.
Impressively, their algorithm works in polynomial time, which means that a
solution can always be found reasonably quickly.
So the polynomial p and the exponential function are at a party.
In addition, there are a few important problems that gain a polynomial speedup.
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