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Divide ————— by z2+z-12. (z-3) . The first term is, z2 its coefficient is 1 . The middle term is, +z its coefficient is 1 . Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is 1 . The rule says : To multiply exponential expressions which have the same base, add up their exponents. z - 2 .
Cancel z+2 and (z-3), FOIL (z-2) * (z+4) = (z^2 +4z - 2z - 8) = z^2 + 2z - 8: To avoid division by 0, z cannot = 3 or -4