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    Question

    What will be the greatest common divisor (GCD) of (x┬▓

    - 6x + 8) and (x┬▓ - 9x + 20).
    A x - 2 Correct Answer Incorrect Answer
    B x - 4 Correct Answer Incorrect Answer
    C x - 5 Correct Answer Incorrect Answer
    D x - 3 Correct Answer Incorrect Answer

    Solution

    (x┬▓ - 6x + 8) = x┬▓ - 4x - 2x + 8 = x(x - 4) - 2(x - 4) = (x - 4)(x - 2) x┬▓ - 9x + 20 = x┬▓ - 4x - 5x + 20 = x(x - 4) - 5(x - 4) = (x - 4)(x - 5) So, required GCD = (x - 4) Hence, option b.

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