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:
3x2 - 3 + x2y - 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.
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.
- Introduction to Polynomials (Definitions)
- Adding Polynomials
- Subtracting Polynomials
- Multiplying Polynomials
- Using the FOIL Method to Multiply Binomials
- Squaring a Binomial - Using a Special Rule
- Difference of Two Squares - "Special Binomials"
- Factoring Polynomials
Using the Greatest Common Factor (GCF)
- Factoring Trinomials
- Factoring a Trinomial with a Lead Coefficient
Greater Than One
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