Dividing two polynomials using long division algorithm

The video tutorial explains how to divide a polynomial by another polynomial using the division algorithm. It starts with an introduction to the concept, followed by a step-by-step demonstration of dividing a cubic polynomial by a quadratic polynomial. The process involves dividing the leading terms, multiplying, and subtracting to find the remainder. The tutorial concludes with writing the final quotient and remainder, emphasizing the importance of handling remainders when the divisor's degree is larger than the dividend's.

How do you handle a situation where the divisor has a larger power than the dividend?

What is the final expression for the quotient and remainder after dividing the polynomials?