Factoring completely is an algebraic process that incorporates the three common factoring techniques: the greatest common factor, trinomials and the difference between two squares. These techniques by themselves often fa... More »

Polynomial equations can be solved by factoring through the following steps. The first step is to write the equation in its correct form, which involves distributing the terms by removing all parentheses on both sides of... More »

A perfect square trinomial is a polynomial with three terms that is expanded or FOILed form of a binomial squared. Taking the square root of a perfect square trinomial will result in a rational expression, unlike the roo... More »

Perfect square trinomials are quadratics obtained from squaring a binomial. Determining the binomial requires analyzing each term individually and then putting them together. More »

Multiplying trinomials can seem like a daunting task. The complexity can be reduced by breaking the problem down and multiplying each term separately. In this example, the trinomials x^3 + 4x^2 + 3x + 7 and 8x^3 + 6x^2 +... More »

To factor the difference of two squares, break down the squares, and then factor them out to get the positive and negative solutions. The proper solution includes the sum and the difference of the two square roots, multi... More »

A four-term polynomial is most often factored by grouping, a process where terms that have common factors are grouped and factored separately. In some cases, separate factoring of the two groups may reveal another factor... More »