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Fundamental theorem of algebra and Polynomial

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Fundamental theorem of algebra and Polynomial

Fundamental theorem of algebra vs. Polynomial

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Similarities between Fundamental theorem of algebra and Polynomial

Fundamental theorem of algebra and Polynomial have 21 things in common (in Unionpedia): Abel–Ruffini theorem, Abstract algebra, Algebra, Antiderivative, Coefficient, Compact space, Complex number, Constant function, Continuous function, Degree of a polynomial, Derivative, Eigenvalues and eigenvectors, Entire function, Field (mathematics), Galois theory, Mathematical analysis, Polynomial, Polynomial long division, Quadratic formula, Rational function, Zero of a function.

Abel–Ruffini theorem

In algebra, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no algebraic solution—that is, solution in radicals—to the general polynomial equations of degree five or higher with arbitrary coefficients.

Abel–Ruffini theorem and Fundamental theorem of algebra · Abel–Ruffini theorem and Polynomial · See more »

Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

Abstract algebra and Fundamental theorem of algebra · Abstract algebra and Polynomial · See more »

Algebra

Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.

Algebra and Fundamental theorem of algebra · Algebra and Polynomial · See more »

Antiderivative

In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function is a differentiable function whose derivative is equal to the original function.

Antiderivative and Fundamental theorem of algebra · Antiderivative and Polynomial · See more »

Coefficient

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series or any expression; it is usually a number, but may be any expression.

Coefficient and Fundamental theorem of algebra · Coefficient and Polynomial · See more »

Compact space

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).

Compact space and Fundamental theorem of algebra · Compact space and Polynomial · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Complex number and Fundamental theorem of algebra · Complex number and Polynomial · See more »

Constant function

In mathematics, a constant function is a function whose (output) value is the same for every input value.

Constant function and Fundamental theorem of algebra · Constant function and Polynomial · See more »

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

Continuous function and Fundamental theorem of algebra · Continuous function and Polynomial · See more »

Degree of a polynomial

The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.

Degree of a polynomial and Fundamental theorem of algebra · Degree of a polynomial and Polynomial · See more »

Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

Derivative and Fundamental theorem of algebra · Derivative and Polynomial · See more »

Eigenvalues and eigenvectors

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.

Eigenvalues and eigenvectors and Fundamental theorem of algebra · Eigenvalues and eigenvectors and Polynomial · See more »

Entire function

In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic at all finite points over the whole complex plane.

Entire function and Fundamental theorem of algebra · Entire function and Polynomial · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Field (mathematics) and Fundamental theorem of algebra · Field (mathematics) and Polynomial · See more »

Galois theory

In the field of algebra within mathematics, Galois theory, provides a connection between field theory and group theory.

Fundamental theorem of algebra and Galois theory · Galois theory and Polynomial · See more »

Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

Fundamental theorem of algebra and Mathematical analysis · Mathematical analysis and Polynomial · See more »

Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Fundamental theorem of algebra and Polynomial · Polynomial and Polynomial · See more »

Polynomial long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.

Fundamental theorem of algebra and Polynomial long division · Polynomial and Polynomial long division · See more »

Quadratic formula

In elementary algebra, the quadratic formula is the solution of the quadratic equation.

Fundamental theorem of algebra and Quadratic formula · Polynomial and Quadratic formula · See more »

Rational function

In mathematics, a rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials.

Fundamental theorem of algebra and Rational function · Polynomial and Rational function · See more »

Zero of a function

In mathematics, a zero, also sometimes called a root, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is, x is a solution of the equation f(x).

Fundamental theorem of algebra and Zero of a function · Polynomial and Zero of a function · See more »

The list above answers the following questions

Fundamental theorem of algebra and Polynomial Comparison

Fundamental theorem of algebra has 101 relations, while Polynomial has 162. As they have in common 21, the Jaccard index is 7.98% = 21 / (101 + 162).

References

This article shows the relationship between Fundamental theorem of algebra and Polynomial. To access each article from which the information was extracted, please visit:

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