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12 October, 03:25

Find all roots: x^3 + 7x^2 + 12x=0

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  1. 12 October, 03:36
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    see explanation

    Step-by-step explanation:

    To find the roots factor the left side

    x³ + 7x² + 12x = 0 ← factor out x from each term

    x (x² + 7x + 12) = 0

    x (x + 3) (x + 4) = 0

    Equate each factor to zero and solve for x

    x = 0

    x + 3 = 0 ⇒ x = - 3

    x + 4 = 0 ⇒ x = - 4

    Roots are x = - 4, x = - 3, x = 0
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