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?

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

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