This question sounds much like homework to me, thus I will only give you hints at what to look for:

  1. Define what polynomial division is.
  2. Every Polynom can be written in two standard forms (at least if you also allow imaginary numbers, which won't be necessary for our case). Identify those two forms.
  3. Are those two forms of a given polynomial unique? Why? Why not?
  4. You are looking for a f(X) which satisfies f(Xi) = Yi for all i between 1 and the length of your data column.
  5. Start with the easy cases of i=0, i=1 and i=2.
  6. Can you extend a solution for i=1 to i=2?
  7. Can you extend a solution for i=n to i=n+1?
perl -MHTTP::Daemon -MHTTP::Response -MLWP::Simple -e ' ; # The $d = new HTTP::Daemon and fork and getprint $d->url and exit;#spider ($c = $d->accept())->get_request(); $c->send_response( new #in the HTTP::Response(200,$_,$_,qq(Just another Perl hacker\n))); ' # web

In reply to Re: Polynomial equation algorithm by Corion
in thread Polynomial equation algorithm by Anonymous Monk

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":



  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.