How to factor a polynomial by using the grouping factoring technique

The video tutorial explains how to factor polynomials with four terms using the grouping technique. It begins by discussing the limitations of the diamond method for trinomials and introduces the grouping method. The instructor demonstrates how to group terms, find the greatest common factor (GCF) for each group, and factor them. The process is shown step-by-step, ensuring that the terms within parentheses match, allowing for further factoring. The tutorial concludes with a complete factorization of the polynomial, emphasizing the importance of recognizing common terms and using the grouping technique effectively.

What is the grouping technique used for factoring polynomials with four terms?

How do you determine the greatest common factor (GCF) when factoring the first two terms?

What do you factor out from the expression 21x cubed and 14x squared?

After factoring out the GCF from the first two terms, what expression do you end up with?

What is the final expression after applying the grouping technique to the polynomial?