Results 1 to 4 of 4

Thread: Solving cubic and quartic function with 4,5 points

  1. January 8th 2010, 04:24 PM #1
    integral
    integral is offline
    Member integral's Avatar
    Joined
    Dec 2009
    From
    Arkansas
    Posts
    200

    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.
    Follow Math Help Forum on Facebook and Google+
  2. January 8th 2010, 04:35 PM #2
    pickslides
    pickslides is offline
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,234
    Thanks
    26
    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
    Follow Math Help Forum on Facebook and Google+
  3. January 8th 2010, 04:55 PM #3
    integral
    integral is offline
    Member integral's Avatar
    Joined
    Dec 2009
    From
    Arkansas
    Posts
    200

     n \in \mathbb{Z}^\geq<br />
    I believe     \because it works with y=ax^0
    Or does it matter?
    Follow Math Help Forum on Facebook and Google+
  4. January 10th 2010, 11:56 AM #4
    pickslides
    pickslides is offline
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,234
    Thanks
    26
    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
    Follow Math Help Forum on Facebook and Google+
« Proving quadrilateral is a rectangle algebraically | Quadratic with complex roots »

Similar Math Help Forum Discussions

  1. Cubic and Quartic Functions Problems: Part 1
    Posted in the Algebra Forum
    Replies: 3
    Last Post: April 27th 2011, 04:55 AM
  2. Cubic and Quartic Functions Problems: Part 3
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 27th 2011, 04:45 AM
  3. Cubic and Quartic Functions Problems: Part 2
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 26th 2011, 09:39 PM
  4. Quartic, Hyperbolic, log, and cubic functions?
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 25th 2011, 04:27 AM
  5. Cubic function critical points
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 12th 2010, 03:19 AM

Search Tags


/mathhelpforum @mathhelpforum