Synthetic division is a process that can be used for a variety of challenges, including 1.) as an alternative to long division if the divisor is a binomial, 2.) to determine if a binomial is a factor of a polynomial, 3.) as a guess and check starting place to factor a polynomial completely, 4.) to find the remainder when a polynomial is divided by a binomial, and 5.) as a way of evaluating a polynomial for a given x value.
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