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Math Help - Determine an Equation

  1. #1
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    Question Determine an Equation

    Determine an equation in factored for for a cubic polynomial function with zeros 0,2, and 5 that passes through the point (6,48).

    My initial thought is that the equation should be:

    f(x) = x(x-2)(x-5)

    but I'm not sure what has to be done with the point (6,48).
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  2. #2
    Master Of Puppets
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    you could include a dialation such that

     f(x) = a[x(x-2)(x-5)] where

     48 = a[6(6-2)(6-5)]

    Spoiler:
     48 = a[6(4)(1)]

     48 = 24a

     a=2
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