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Math Help - Solving cubic and quartic function with 4,5 points

  1. #1
    Member integral's Avatar
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    Solving cubic and quartic function with 4,5 points

    Can you use the same methods used for finding quadratic equations given three points to find any degree of function? Using the equation:
    y=ax^{n_1}+bx^{n_1-1}+cx^{n_1-2}\cdots +dx^0

    Needing n+1 number of points per degree to solve?


    I attempted to ask my algebra teacher but she looked dumb founded...so I just left.
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  2. #2
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    Quote Originally Posted by integral View Post
    y=ax^{n_1}+bx^{n_1-1}+cx^{n_1-2}\cdots +dx^0

    Needing n+1 number of points per degree to solve?

    For n \in \mathbb{Z}^{+} I believe so
    Last edited by pickslides; January 8th 2010 at 04:36 PM. Reason: *sp
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  3. #3
    Member integral's Avatar
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    n \in \mathbb{Z}^\geq<br />
    I believe
    \because it works with y=ax^0
    Or does it matter?
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  4. #4
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    Yes that is correct so n \in \mathbb{Z}^{+} \cup \{0\}

    Such a model y=ax^0 is trivial given x^0 = 1 ~\forall x
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