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15 August, 14:09

Solve 3x^3-9x^2-12x

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  1. 15 August, 14:30
    0
    x = - 1, 0, and 4

    Step-by-step explanation:

    Step 1: Set the expression equal to zero. Solving means to find out what values of x make the equation equal zero.

    3x³ - 9x² - 12x = 0

    Step 2: Factor out the largest common factor is there is one.

    Here the largest common factor is 3x. Now we have

    3x (x² - 3x - 4) = 0

    Step 3: Factor the quadratic expression x² - 3x - 4

    3x (x - 4) (x + 1) = 0 (two numbers that add up to - 3 and multiply to - 4)

    Step 4: Set each term equal to zero and solve ...

    3x = 0, so x = 0 (divide both sides by 3 to isolate x)

    x - 4 = 0, so x = 4 (add 4 to both sides to isolate x)

    x + 1 = 0, so x = - 1 (subtract 1 from both sides to isolate x)

    So our solutions are

    x = - 1, 0, and 4
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