# Factoring in Algebra:

Factoring by Grouping

Factoring in Algebra can be accomplished in many different ways.
When it comes to polynomials, each situation is different based on the
make-up of the polynomial. In our last lesson, we learned how to factor
by using the greatest common factor.

However, some polynomials have no greatest common factor other than
1. Therefore, we would need to choose another method for factoring.

In this case, we would look to see if the polynomial has a couple of
terms with a common factor. If so, we can group them together and
factor separately.

Take a look at the following example:

## Example 1: Factoring by Grouping

**3x**^{2} - 3 + x^{2}y - y

There are 4 terms in the polynomial. However, there are **no common** factors within the 4 terms.

Do you see two terms that have a common factor that could be grouped together?

I know that factoring can be confusing, but think of factoring as rewriting the problem using the **distributive property.** You want to continue factoring a polynomial until no common factors exist.

Let's look at another example.

## Example 2: Factoring by Grouping

Hopefully you now better understand how to factor polynomials using the
grouping method. If you cannot factor by using grouping, then you may
have a trinomial that can be factored using a different method.

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