Let's look at three methods for factoring quadratic equations.

The three methods are:

Grouping

Factoring Trinomials

Difference of Squares

Step 1. Check to see if you can factor out a greatest common factor. If there is not a GCF then move to step 2

3x^3 -2x^2 +6x-4

Step 2. Create smaller groups by grouping the 1st two terms, and the 2nd two terms

3x^3 -2x^2 +6x-4

Step 3. Factor out the Greatest Common Factor (GCF)

x(3x-2) + 2(3x-2)

Step 4. Factor out any perfect matches,and rewrite what is remaining. In this example you have a perfect match of (3x-2) so you can factor this match out.