Dividing polynomials by synthetic division and rewriting using the division algorithm

The video tutorial explains how to divide polynomials using synthetic division. It begins with setting up the division by ensuring the divisor is in the form of X - K. The process involves taking the coefficients of the polynomial, performing synthetic division, and interpreting the results to find the quotient and remainder. The division algorithm is then used to express the polynomial division in a standard form.

How do you determine the coefficients of the quotient in synthetic division?

What is the relationship between the original polynomial, the divisor, the quotient, and the remainder?