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Unformatted text preview: f(-2) using synthetic division . The remainder is so f(-2) = . Factor Theorem Let f(x) be a polynomial function. If f(c) = 0, then x -c is a factor of f(x). The remainder is f(c) so if the remainder is zero, then x -c is a factor of f(x). The factor theorem is useful in factoring polynomials to solve polynomial equations and find zeros of polynomial functions. Factor the polynomial function f(x). Then solve the equation f(x) = 0. f(x) = x 4-4x 3-7x 2 + 34x -24 The solutions to f(x) = 0 are the zeros of the polynomial f(x). Using synthetic division, determine whether 2 is a zero of f(x) = 3x 3 + 5x 2-6x + 18. Using synthetic division, determine whether -2i is a zero of g(x) x 3-4x 2 + 4x -16....
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