10 - The Remainder Theorem of Synthetic Division & Polynomial Long Division - Part 1

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In this lesson, we will learn about remainders that are obtained during the process of synthetic division and polynomial long division. The remainder theorem says that the remainder obtained when dividing by the divisor is equal to the dividend polynomial divisor evaluated at the number in the divisor.
We can then use the process of long division or synthetic division to calculate the value of the polynomial (dividend) at the point specified by the divisor. It can be used to quickly evaluate complicated functions at a given point more easily than direct substitution.