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The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a). In other words, if you want to evaluate the function f(x) for a given number, a, you can divide that function by x - a and your remainder will be equal to f(a).
It should be noted that the remainder theorem only works when a function is divided by a linear polynomial, which is of the form x + number or x - number.
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