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29 March, 23:08

Identify the x-intercepts by factoring and solving m^3 + 4m^2 - 6m - 24 = 0

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  1. 29 March, 23:17
    0
    m = - 4 or m = sqrt (6) or m = - sqrt (6)

    Step-by-step explanation:

    Solve for m:

    m^3 + 4 m^2 - 6 m - 24 = 0

    The left hand side factors into a product with two terms:

    (m + 4) (m^2 - 6) = 0

    Split into two equations:

    m + 4 = 0 or m^2 - 6 = 0

    Subtract 4 from both sides:

    m = - 4 or m^2 - 6 = 0

    Add 6 to both sides:

    m = - 4 or m^2 = 6

    Take the square root of both sides:

    Answer: m = - 4 or m = sqrt (6) or m = - sqrt (6)
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