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# Remainder Theorem

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In this lesson, we will learn about the remainder theorem. The remainder theorem will give us a quicker method to evaluate a polynomial for a given value. When we work with a polynomial, we can write the polynomial as: f(x) = (x - k)q(x) + r, where (x - k) is our divisor, q(x) is the quotient, and r is the remainder. If we want to find f(k), we see that f(k) = r. So f(k) is just equal to the remainder from dividing f(x) by x - k. Additionally, we will be able to use this method to determine if f(k) is a zero, meaning f(k) = 0.

Remainder Theorem:

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