## 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. However, the division by a constant is allowed, because the multiplicative inverse of a non zero constant is also a constant. For example, *x*2 − *x*/4 + 7 is a polynomial, but *x*2 − 4/*x* + 7*x*3/2 is not, because its second term involves division by the variable *x* (4/x), and also because its third term contains an exponent that is not a non-negative integer (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.

Read more about Polynomial.

### Some articles on polynomial:

**Polynomial**

... Let F be a field and p(x) be a

**polynomial**in one variable and coefficients in F ... An element a ∈ F is called a root of multiplicity k of p(x) if there is a

**polynomial**s(x) such that s(a) ≠ 0 and p(x) = (x − a)ks(x) ... For instance, the

**polynomial**p(x) = x3 + 2x2 − 7x + 4 has 1 and −4 as roots, and can be written as p(x) = (x + 4)(x − 1)2 ...

**Polynomial**Approximations

... defined on a closed interval can be uniformly approximated as closely as desired by a

**polynomial**function ...

**Polynomial**expansions such as the Taylor series expansion are often convenient for theoretical work but less useful for practical applications ... work it is often desirable to minimize the maximum absolute or relative error of a

**polynomial**fit for any given number of terms in an effort to reduce computational expense of repeated evaluation ...

... lemma is a tool commonly used in probabilistic

**polynomial**identity testing, i.e ... in the problem of determining whether a given multivariate

**polynomial**is the 0-

**polynomial**(or identically equal to 0) ... The input to the problem is an n-variable

**polynomial**over a field F ...

**Polynomial**s - Properties - Definition in Terms of Bessel Functions

... The Bessel

**polynomial**may also be defined using Bessel functions from which the

**polynomial**draws its name where Kn(x) is a modified Bessel function of ...

**Polynomial**

...

**Polynomials**can involve more than one variable, in which they are called multivariate ... Rings of

**polynomials**in a finite number of variables are of fundamental importance in algebraic geometry which studies the simultaneous zero sets of several such multivariate

**polynomials**... by repeating the construction of univariate

**polynomials**with as coefficient ring another ring of

**polynomials**thus the ring R of

**polynomials**in X and Y can be viewed as the ring (R ...

### More definitions of "polynomial":

- (
*noun*): A mathematical expression that is the sum of a number of terms.

Synonyms: multinomial