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23 February, 10:38

What are the zeros of the polynomial function f (x) = x^3-10x^2+24x

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  1. 23 February, 13:41
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    Replace F (x) with y

    y=x^3-10x^2+24x

    To find the roots replace y with 0.

    0=x^3-10x^2-24x

    Rewrite the equation as

    x^3-10x^2+24x=0

    Factor the left side

    x (x-6) (x-4) = 0

    The solution is a result of

    x=0, x-6=0, and x-4=0

    The answer is:

    x=0, 6, 4
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