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    Question

    If (x тАУ 3) is a factor of (x2 + 4qx тАУ

    2q), then the value of q is:
    A -9/10 Correct Answer Incorrect Answer
    B -7/10 Correct Answer Incorrect Answer
    C -3/10 Correct Answer Incorrect Answer
    D -1/10 Correct Answer Incorrect Answer

    Solution

    (x тАУ 3) is a factor of (x2 + 4qx тАУ 2q) so, x тАУ 3 = 0 => x = 3 Put, x = 3 in x2 + 4qx тАУ 2q and equate to zero. => x2 + 4qx тАУ 2q = 0 => (3)2 + 4 ├Ч q ├Ч 3 тАУ 2q = 0 => 9 + 12q тАУ 2q = 0 => 12q тАУ 2q = -9 => q = -9/10

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