
factor theorem


The factor theorem says that, if f(a) = 0 in which f(x) represents a polynomial in x, then (x  a) is one of the factors of f(x).
For example, let f(x) = 2x^{2}  8. Because f(2) = 2(2)^{2}  8 = 0, (x  2) must be one of its factors. Actually, f(x) = 2x^{2}  8 = 2(x + 2)(x  2).

