How to use long division to divide polynomials

This video tutorial demonstrates how to use long division to divide polynomials, specifically focusing on dividing U^2 + 5U - 12 by U - 3. The instructor explains the setup of the problem, the step-by-step process of performing long division with polynomials, and how to handle remainders. The tutorial concludes with the final answer, emphasizing the importance of following the algorithm correctly to avoid common mistakes.

How do you determine the remainder when dividing 12 by U?

What is the final answer when dividing U^2 + 5U - 12 by U - 3?