How to Factor Binomials In algebra, binomials are two-term expressions connected with a plus sign or minus sign, such as {\displaystyle ax+b} . The first term always includes a variable, while the second term may or may not. Factoring a binomial means finding simpler terms that, when multiplied together, produce that binomial expression, which helps you solve it or simplify it for further work. Part 1 Factoring Binomials 1 Review the basics of factoring. Factoring is when you break a large number down into it's simplest divisible parts. Each one of these parts is called a "factor." So, for example, the number 6 can be evenly divided by four different numbers: 1, 2, 3, and 6. Thus, the factors of 6 are 1, 2, 3, and 6. The factors of 32 are 1, 2, 4, 8, 16, and 32 Both "1" and the number you're factoring are always factors. So, the factors of a small number, like 3, would simply be 1 and 3. Factors are only the perfectly divisible numbers, or "whole...