Question

    x + 5x – 2x – 24 has a zero at x = 2. Find the other zeros.

    A –3, –4 Correct Answer Incorrect Answer
    B –3, 5 Correct Answer Incorrect Answer
    C –2, –3 Correct Answer Incorrect Answer
    D 3, 4 Correct Answer Incorrect Answer

    Solution

    If x = 2 is zero of the cubic equation. then (x - 2) = 0 (x3 + 5x2-2x-24) divided by (x - 2), then Quotient = x² + 7x + 12 x² + 7x + 12 = 0 x² + 4x + 3x + 12 = 0 x (x + 4) + 3x (x + 4) = 0 (x + 4) (x + 3) = 0 Taking, x + 4 = 0   x = -4 Taking, x + 3 = 0 x = -3 So, the other zeros (-3,-4).

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