Trinomials often stump students when they first come across them. If they were equal to one, the amount of time you spend would be greatly shortened. All of the operations you perform here are with values that are greater than or less than one. Every trinomial consists of three components (hence the "tri" part of the word) these the squared variable, the single variable, and the pure constant. Almost all of the trinomials you will come across in this section were created by finding the product of two binomials. This value does not factor and is in its simplest form. For example, if we were to consider the equation: 2x 2 + 10x – 6 | we would take a which is 2 and multiply it by -6, which is c and rewrite the problem as: x 2 + 10x – 12. It basically says that we multiply the lead coefficient a by the constant c. Even if it is the method you will use most often, for certain. The most common method of factoring problems like this is called the AC method, but please be aware that it does not work for all problems, it is only one method. They are often written in the quadratic form as: ax 2 + bx + c. Trinomials are algebraic expressions that consists of three unique terms.
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