Rewriting Rational Expressions Using Long Division

This video tutorial teaches how to rewrite rational expressions using long division. It begins with an introduction to the concept, followed by a numerical example using the division of 2561 by 15. The tutorial then applies long division to rational expressions, demonstrating the process with polynomial terms. Finally, an advanced example using a trinomial divisor is presented, reinforcing the method and ensuring understanding of the concept.

What is the significance of the remainder in the long division of rational expressions?

Describe the steps taken to check the quotient by multiplying it by the divisor.