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Today, 10:23

Find the zeros of the function f (x) = x^3 + 2x^2 - 25x - 50 = 0

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  1. Today, 13:36
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    x = - 2, x = - 5, x = + 5

    Step-by-step explanation:

    x^3 + 2x^2 - 25x - 50 = 0

    Factor by grouping

    x^3 + 2x^2 - 25x - 50 = 0

    x^2 (x+2) - 25 (x+2) = 0

    (x+2) (x^2 - 25) = 0

    Using the zero product property

    x+2 = 0 x^2 - 25 = 0

    x=-2 x^2 = 25

    x = - 2 Taking the square root of each side

    x = ±5
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