Dividing two polynomials using synthetic division

The video tutorial explains synthetic division, a method used to divide polynomials. It begins by setting up the problem, ensuring the polynomial is in descending order and includes all necessary coefficients. The process involves using a binomial set to zero, extracting coefficients, and performing calculations by multiplying diagonally and adding vertically. The tutorial concludes by interpreting the results, highlighting that a zero remainder indicates the binomial divides evenly into the polynomial, and explaining how the coefficients form the quotient polynomial.

Explain the process of synthetic division as described in the text.

What does a remainder of zero indicate in the context of polynomial division?