Definitions for

**"Polynomial"****Related Terms:**Monomial, Algebraic expression, Arithmetic expression, Algebraic number, Discriminant, Term, Logarithm, Transcendental number, Numeric expression, Polynomial function, Algebra, Ring, Arithmetic progression, Binomial theorem, Diophantine equation, Rational expression, Arithmetic sequence, Exponential, Determinant, Equation, Modular arithmetic, Modulo, Exponential function, Arithmetic, Exponential notation, Trinomial, Pi, Operation, Eigenvalue, Coefficient , Power, Subtraction, Geometric progression, Exponent, Function, Like terms, Degree, Order of operations, Cardinal number, Rational function, Discrete variable, Complex number, Expression, Linear combination, Formula, Term, Arithmetic mean, Mathematics, Rational

An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.

Containing many names or terms; multinominal; as, the polynomial theorem.

An algebraic term. The sum of 2 or more monomials. Polynomials include variables and always have one or more terms.

an expression consisting of one or more terms, including some variable(s). E.g. 3 x2 - 2 x + 1.

A linear combination of powers of one or more independent variables.

function in which the output is the sum of terms that are the products of constant values and the input raised to some integer power. The polynomial of a polynomial is another polynomial. From a time complexity point of view, polynomials are well-behaved.

A mathematical expression that is a sum of terms, each term being a product of a constant and a non-negative (or zero) power of a variable or variables. For example

a mathematical expression that is the sum of a number of terms

having the character of a polynomial; "a polynomial expression"

a finite sum of terms like a k x k , where k is a positive integer or zero

a mathematical expression involving a series of Powers in one or more variables multiplied by Coefficients

a mathematical expression involving a sum of powers in one

a mathematical expression involving exponents and expressions

a monomial or a sum of monomials

an algebraic expression containing powers of one or more variables

an algebraic expression which is obtained when we express the sum of any non-similar monomials

an equation with terms containing only constants and powers of the variables

an expression that contains one or more algebraic terms, each consisting of a constant multiplied by a variable raised to a power greater than or equal to zero

a sum of terms which are coefficients times various powers of a "base" variable

In POV-Ray, an object that can be described in mathematical terms as the summation of the product of the position vector elements , and raised to some power and user-specified coefficients. Used to generated mathematically-defined objects. Also see quadric, cubic, and quartic. ( Tutorial) ( Language Reference)

A polynomial is an expression of the formax + ... + bx + c.

Function having the form f(x) = anxn + an-1xn-1 + ... + a1x1 + a0x0 , where an , an-1, etc. are constants and "n" is the degree or order of the polynomial. Example: f(x) = 2x3 - 4x2 + 2. In standard form this would be: f(x) = 2x3 - 4x2 + 0x1+2x0 .

A curve of the form y = a + bx + cx² + dx³ + ex4 + ..., where a, b, c, etc. are constants, x and y variables. Good graphing software typically can fit a polynomial to the sixth power to a set of data.

This term refers to a particular type of equation that is used as the basis for all B-spline curves and surfaces. A polynomial has the general form: F(x) = a0 + a1*x + a2*x^2 + a3*x^3 + ... The highest exponent value that is used (3, in this example), is called the degree of the polynomial (degree=3 is also called a cubic polynomial). The number of coefficients ('a' values) is the order of the polynomial. Order is always one more than degree.

A monomial or the sum of monomials.

To mathematicians, a polynomial in n is a sum of multiples of nonnegative integer powers of n: for example, 3n2-8n+4. To computer scientists, on the other hand, polynomial often means upper-bounded by a polynomial: so n+log(n), for example, is "polynomial." Also an adverb ("polynomially"). A function that grows polynomially is considered to be 'reasonable,' unlike, say, one that grows exponentially.

In algebra, a sum of monomials; for example, 2 + 2 xy

A polynomial is an algebraic expression that consists of a sum of terms. ( i ) 2 xy xy 3 + 2 xy + + 4 is a polynomial that consists of 6 terms. Terms: xy xy 3, 2 xy, Coefficients of the Terms: 2, 3, -5, 2, 1, 4 (4 is a constant.) Like terms are terms with identical variable expressions: 3 xy and 2 xy Unlike terms are terms with different variable expressions: 2 xy xy To simplify a polynomial is to collect like terms. After simplification, ( i ) becomes: ( ii ) 2 xy xy Some special polynomials: Monomial: Binomial: Trinomial: xy

An algebraic expression with more than one term ( monomial)

function that is a sum of power functions, with positive integer exponents, multiplied by constants, such as () = 3 - 2 2 + 4 + 7 = 1 3 + -2 2 + 4

mathematical explanation for the aberrations created.

A term or the sum of a finite number of terms.

A finite sum of monomials.

In algebra, a sum of monomials; for example, + 2xy + y .

An algebraic expression consisting of one or more summed terms.

In mathematics, a polynomial is an expression in which one or more variables and constants are combined using only addition, subtraction, multiplication, and non-negative whole number exponents (raising to a power).

See Zernike Polynomial