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.
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...