Suppose f (x) = 2x 3 14x 2 + bx 3 with f (2) =

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Suppose f (x) = 2x3 − 14x2 + bx − 3 with f (2) = 0 and g( x) = x3 + cx2 − 8x + 30, with the zero x = 3 − i, where b and c are real numbers. Find ( f · g )(1).

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