Divide two polynomials using long division

The video tutorial explains how to perform polynomial long division, emphasizing the importance of using zero coefficients as placeholders for missing terms. It walks through the division process step-by-step, showing how to handle remainders and add them to the quotient. The tutorial concludes with a summary of the division process and its outcomes.

How do you handle terms that result in zero during polynomial long division?

What is the final result when dividing X^3 - 9 by X^2 + 1, and what does it indicate about the division?