# 2-factor theorem

In the mathematical discipline of graph theory, the 2-factor theorem, discovered by Julius Petersen, is one of the earliest works in graph theory. It can be stated as follows: 2-factor theorem. Let G be a regular graph whose degree is an even number, 2k. Then the edges of G can be partitioned into k edge-disjoint 2-factors. Here, a 2-factor is a subgraph of G in which all vertices have degree two; that is, it is a collection of cycles that together touch each vertex exactly once. (Wikipedia).

Using the difference of two squares to factor a trinomial

π Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression m

Factoring using the difference of two squares Math help teacher

π Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression m

How to use the difference of two squares to factor

π Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression m

Solving a binomial to a higher power using difference of two squares

π Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression m

Factoring using difference of two squares by factoring out a variable

π Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression m

How to factor a polynomial using the difference of two cubes

π Learn how to factor polynomials using the sum or difference of two cubes. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it up into expression

From playlist How to factor a polynomial to a higher power

How to factor using the sum of two cubes

π Learn how to factor polynomials using the sum or difference of two cubes. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it up into expression

From playlist How to factor a polynomial to a higher power

Using the sum of two cubes with a fraction

π Learn how to factor polynomials using the sum or difference of two cubes. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it up into expression

From playlist How to factor a polynomial to a higher power

Factor difference of two squares - The best math teacher ever

π Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression m

The Factor Theorem | A-level Mathematics

What is the factor theorem? 00:00 How to answer questions using the factor theorem/why is it useful? 2:05 How to prove the factor theorem? 9:35 Thanks for watching! β€οΈ β€οΈ β€οΈ Support the channel β€οΈ β€οΈ β€οΈ https://www.youtube.com/channel/UCf89Gd0FuNUdWv8FlSS7lqQ/join

From playlist A-level Mathematics Revision

The Factor Theorem - Edexcel Maths A-Level

Powered by https://www.numerise.com/ A short video to introduce the factor theorem for use in the next video on complex numbers. www.hegartymaths.com http://www.hegartymaths.com/

From playlist Further Pure 1: Edexcel A-Level Maths Full Course

Algebra 2 6.07a - The Rational Zeros Theorem, Part 1

The Rational Zeros Theorem. First video in a short series that explains what the theorem says and why it works. Several examples are also carefully worked out and explained in detail.

From playlist Algebra 2 - Rational Zeros Theorem

How to apply the remainder theorem by evaluating and synthetic division

π Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is

From playlist Remainder and Factor Theorem

What is the Remainder Theorem

π Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is

From playlist Remainder and Factor Theorem

Lec 12. Fundamental Theorem of Algebra College Algebra with Dennis Allison

See full course at: https://cosmolearning.org/courses/college-algebra-pre-calculus-with-dennis-allison/ Video taken from: http://desource.uvu.edu/videos/math1050.php Lecture by Dennis Allison from Utah Valley University.

5.5 Zeros of Polynomial Functions

OpenStax College Algebra

From playlist OpenStax College Algebra

Complex polynomials and their factors | Linear Algebra MATH1141 | N J Wildberger

We look at the arithmetic of complex polynomials, prove both the Factor theorem and the Remainder theorem, and discuss the contentious "Fundamental theorem of Algebra" from a computational perspective. ************************ Screenshot PDFs for my videos are available at the website htt

From playlist Higher Linear Algebra

Bryna Kra : Multiple ergodic theorems: old and new - lecture 2

Abstract : The classic mean ergodic theorem has been extended in numerous ways: multiple averages, polynomial iterates, weighted averages, along with combinations of these extensions. I will give an overview of these advances and the different techniques that have been used, focusing on co

Factoring using the difference of two squares with multiple variables

π Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression m

The Primes are Infinite | MathBits

How many prime numbers are there? Quite a few. #MathBits MathBits playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxXC3ow93HXIKx_yHyk5GXCE "Court Gavel - Judge's Gavel - Courtroom" by weiss_paarz_photos is licensed under CC BY-SA 2.0 βDONATEβ β Support Wrath of Math on Patre

From playlist MathBits

## Related pages

Graph theory | Regular graph | Bipartite graph | Graph factorization | Degree (graph theory) | KΕnig's theorem (graph theory) | Julius Petersen | Orientation (graph theory)