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    x³+ 5x²-2x-24 has a zero at x = 2. Find the other zeros.
    Question

    x³+ 5x²-2x-24 has a zero at x = 2. Find the other zeros.

    A.

    -3, -4

    B.

    -3, 5

    C.

    -2, -3

    D.

    3, 4

    Correct option is A


    Solution:
    From the given option (a)
    Put x = - 3 in the given equation
    x³+ 5x²-2x-24
    (-3)³+ 5(-3) ² - 2×(-3)-24=0
    -27+45+6-24=0
    -51+51=0
    0=0 satisfied
    Again, x = -4 x³+ 5x²-2x-24
    (-4) ³+5(-4)² 2×-4)-24=0
    -64+80+8-24=0
    -88+88=0
    satisfied.
    Therefore, the correct option is (a)

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