Types of Factoring


The central idea of all factoring is to rewrite a mathematical object as a product. In arithmetic, factoring is rewriting an integer as the product of its component numbers, especially into prime integers. In algebra, factoring is the rewriting of a polynomial as a product of polynomials of lower order (lower variable exponent).

Factoring Out a Common Factor

  • In simplifying a fraction, one finds the common factor in the numerator and denominator of the fraction.

Factoring by Grouping

  • A factoring problem with four terms often is a grouping problem. The method is to factor in two stages.

Factoring a Trinomial

  • A trinomial of form ax^2+bx+c can be factored by finding factors of the product ac that sum to b.

Factoring Perfect Squares

  • If a and c are squared integers, the trinomial can be a perfect square.

Factoring the Difference of Two Squares

  • The difference of two squares a-squared + b-squared always factors into the product the sum and difference of a and b.

Factoring the Sum or Difference of Two Cubes

  • There are simple formulas for factoring the sum or difference of two cubes that can be verified by multiplying out the factors.


Promoted By Zergnet


You May Also Like

  • What Is Factoring in Math?

    If you know the basics of multiplication and division, you already know all the skills you need to factor. A number's factors...

  • Definition of Debt Factoring

    Debt factoring, also known as invoice factoring or accounts receivable financing, refers to the practice of selling a business's unpaid invoices to...

  • How to Factor Cube Functions

    Cube functions take the form ax^3 + bx^2 + cx + d = 0. You can find the solution(s) using methods such...

  • List of Polynomials

    Of the many different types of polynomials, the three most common are monomials, binomials and trinomials. Within these three common types are...

  • Five Different Types of Abiotic Factors

    An abiotic factor is a non-living component in the environment. This can be either a chemical or physical presence. Abiotic factors fall...

  • Rules for Factoring

    Quadratics are second-order polynomials, i.e., equations of variables with exponents summing to at most 2. For example, x^2+3x+2 is a quadratic. Factoring...

Related Searches

Check It Out

Can You Take Advantage Of Student Loan Forgiveness?

Is DIY in your DNA? Become part of our maker community.
Submit Your Work!