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Cubic function and Irreducible polynomial

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

Difference between Cubic function and Irreducible polynomial

Cubic function vs. Irreducible polynomial

In algebra, a cubic function is a function of the form in which is nonzero. In mathematics, an irreducible polynomial is, roughly speaking, a non-constant polynomial that cannot be factored into the product of two non-constant polynomials.

Similarities between Cubic function and Irreducible polynomial

Cubic function and Irreducible polynomial have 17 things in common (in Unionpedia): Abel–Ruffini theorem, Casus irreducibilis, Coefficient, Complex number, Degree of a polynomial, Discriminant, Field (mathematics), Field extension, Fundamental theorem of algebra, Monic polynomial, Polynomial, Quadratic function, Rational number, Rational root theorem, Real number, Root-finding algorithm, 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 Cubic function · Abel–Ruffini theorem and Irreducible polynomial · See more »

Casus irreducibilis

In algebra, casus irreducibilis (Latin for "the irreducible case") is one of the cases that may arise in attempting to solve a cubic equation with integer coefficients with roots that are expressed with radicals.

Casus irreducibilis and Cubic function · Casus irreducibilis and Irreducible 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 Cubic function · Coefficient and Irreducible 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 Cubic function · Complex number and Irreducible 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.

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Discriminant

In algebra, the discriminant of a polynomial is a polynomial function of its coefficients, which allows deducing some properties of the roots without computing them.

Cubic function and Discriminant · Discriminant and Irreducible 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.

Cubic function and Field (mathematics) · Field (mathematics) and Irreducible polynomial · See more »

Field extension

In mathematics, and in particular, algebra, a field E is an extension field of a field F if E contains F and the operations of F are those of E restricted to F. Equivalently, F is a subfield of E. For example, under the usual notions of addition and multiplication, the complex numbers are an extension field of the real numbers; the real numbers are a subfield of the complex numbers.

Cubic function and Field extension · Field extension and Irreducible polynomial · See more »

Fundamental theorem of algebra

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.

Cubic function and Fundamental theorem of algebra · Fundamental theorem of algebra and Irreducible polynomial · See more »

Monic polynomial

In algebra, a monic polynomial is a single-variable polynomial (that is, a univariate polynomial) in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1.

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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.

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Quadratic function

In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which the highest-degree term is of the second degree.

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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Rational root theorem

In algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on rational solutions of a polynomial equation with integer coefficients.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Root-finding algorithm

In mathematics and computing, a root-finding algorithm is an algorithm for finding roots of continuous functions.

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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).

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The list above answers the following questions

Cubic function and Irreducible polynomial Comparison

Cubic function has 141 relations, while Irreducible polynomial has 62. As they have in common 17, the Jaccard index is 8.37% = 17 / (141 + 62).

References

This article shows the relationship between Cubic function and Irreducible polynomial. To access each article from which the information was extracted, please visit:

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