How to Find Remaining Factors When Given One Factor, Synthetic Division

The video tutorial explains how to factor a polynomial completely. It begins with an introduction to the polynomial and a given factor, followed by an explanation of factors using the number 12 as an example. The tutorial then discusses methods for dividing polynomials, specifically long division and synthetic division. It guides viewers through finding all factors of a polynomial and emphasizes the importance of factoring polynomials into linear factors. The tutorial concludes by finalizing the factorization process, ensuring all factors are identified and expressed as linear factors.

What steps would you take to factor a polynomial completely?

Describe how to identify all linear factors of a polynomial.