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    Question

    Find the common factor of (x2 - 4x - 12) and

    (x2 - 14x - 32).
    A (x + 2) Correct Answer Incorrect Answer
    B (x - 16) Correct Answer Incorrect Answer
    C (x - 6) Correct Answer Incorrect Answer
    D (x - 1) Correct Answer Incorrect Answer

    Solution

    We have, x2 - 4x - 12

    = x2 - 6x + 2x - 12 = x(x - 6) + 2(x - 6) = (x - 6) (x + 2)

    And, x2 - 14x - 32

    = x2 - 16x + 2x - 32 = x(x - 16) + 2(x - 16) = (x - 16) (x + 2)

    Therefore, common factor = (x + 2)

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