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.

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

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