There are two methods.
- Factoring with FOIL (AKA Guess-and-check).
1. 3x 2 - 14x - 5
Note that there are four possibilities. And its rather
time consuming to have to FOIL each time to find out if you have
the right answer or not.
2. 4x 2 + 13x - 12
- This ones a real pain since there are, in fact, 12
The Grouping Method (AKA The ac-method).
4x 2 + 13x - 12
Theres still an aspect of guess-and-check here, but it
involves integers rather than binomials and the check is simply
addition. I find it much easier, myself.