Factoring a GCF then a prime trinomial

The video tutorial covers the process of factoring expressions, starting with an introduction to the task. The teacher explains the importance of identifying the greatest common factor (GCF) when factoring expressions. A specific example is used to demonstrate the process, highlighting the need to factor out common terms. The tutorial also addresses the concept of prime quadratics, explaining that some expressions cannot be factored further. The teacher emphasizes understanding the multiplication and addition of terms to identify prime quadratics.

What method does the teacher mention for factoring quadratics?

What conclusion does the teacher reach about the quadratic in the example?