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Math Help - Construct a polynomial function passing through a point

  1. #1
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    Construct a polynomial function passing through a point

    I am stuck at this problem, anyone have any ideas where I would start?

    Construct a polynomial function with these stated properties (reduce all fractions):

    Third-degree, with zeros of -3, -1, and 2, and passes through the point (4,10).

    Thank you for any help!
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  2. #2
    Senior Member
    Joined
    Nov 2008
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    This is pretty easy, because know 3 zeros of a function (3rd degree)

    thats why this function has the form

    f(x) = a*(x + 3)*(x + 1)*(x - 2)


    now u have to find the a

    f(4) = a*(4+7)(4+1)(4-2) = 70a = 10

    => a = 1/7

    => f(x) =1/7(x + 3)*(x + 1)*(x - 2)
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