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    Question

    The LCM of x2 − 8x + 15 and x2

    − 5x + 6 is:
    A (x - 2) (x - 3) (x − 5) Correct Answer Incorrect Answer
    B (x − 6)² (x + 1) (x − 3) Correct Answer Incorrect Answer
    C (x − 6) (x + 1) (x − 3) Correct Answer Incorrect Answer
    D (x + 6) (x + 1) (x − 3) Correct Answer Incorrect Answer

    Solution

    ATQ, The LCM of x2 − 8x + 15 is  factors of 8n is (3,5) so, x2 − (5x + 3x) + 15 x2 − 5x - 3x + 15 x(x - 5) - 3(x - 5) (x - 3), (x - 5) The LCM of  x2 − 5x + 6is  factors of 5x is (2x,3x) so, x2 − (3x + 2x) + 6 x2 − 3x - 2x + 6 x(x - 3) - 2(x - 3) (x - 2), (x - 3) therefore LCM will be - (x - 2), (x - 3), (x - 5)

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