What is the division algorithm and what does it look like for polynomials

The video tutorial introduces a basic division problem using long division, explains the concept of remainders, and demonstrates how to rewrite division problems. It then introduces the division algorithm, particularly for polynomials, and explains its components: dividend, divisor, quotient, and remainder. The tutorial concludes by showing how to apply the division algorithm to various problems.

What is the process of long division as described in the text?

How can the division of 15 by 4 be expressed in terms of multiplication and remainder?

What is the division algorithm mentioned in the text?

Explain the components of the division algorithm as outlined in the lecture.

What does the instructor expect students to do with division problems?