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 »

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 »

Polynomial operations are basic math operations performed with polynomials instead of integers. A polynomial is an algebraic expression with more than one term. While there are algebraic polynomial operations, simple ope... More »

A monic polynomial is a mathematical expression that consists of coefficients and a single variable, with the leading coefficient equal to one. The leading coefficient is found in the term that contains the variable with... More »

The leading coefficient is the number that multiplies a variable to the highest degree in the expression. Because polynomials are arranged by degree from highest to lowest, the leading coefficient is the first number tha... More »