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    Question

    Find the greatest common divisor (GCD) of (x 2

     - 9x + 14) and (x 2   + x - 56). 
    A (x – 7) Correct Answer Incorrect Answer
    B (x – 2) Correct Answer Incorrect Answer
    C (x + 2) Correct Answer Incorrect Answer
    D (x + 7) Correct Answer Incorrect Answer

    Solution

    (x 2  - 9x + 14) = x 2  - 7x - 2x + 14 = x(x - 7) - 2(x - 7) = (x - 7) (x - 2)

    x 2  + x - 56 = x 2  + 8x - 7x - 56 = x(x + 8) - 7(x + 8) = (x - 7) (x + 8)

    So, required GCD = (x - 7)

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