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Math Help - Constructing polynomial functions

  1. #1
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    Constructing polynomial functions

    Pretty lost on this.

    "Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.:

    Third-degree, with zeros of -2,-1, and 3, and passes through the poing (4,12)"

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  2. #2
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    Quote Originally Posted by mankvill View Post
    Pretty lost on this.

    "Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.:

    Third-degree, with zeros of -2,-1, and 3, and passes through the poing (4,12)"

    If x = \alpha is a zero then (x - \alpha) is a factor. So y = k(x + 2)(x + 1)(x - 3).

    Now substitute (4, 12) and solve for k.
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