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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1853.0. "College Mathematics Journal #521" by RUSURE::EDP (Always mount a scratch monkey.) Wed Mar 16 1994 10:34

    Proposed by Ioan Sadoveanu, Ellensburg, WA.
    
    Let H(x) = x^k + a[1]x^(k-1) + ... + a[k] (a[k] != 0) be a polynomial
    having r as a zero of multiplicity p.  Show that G(x) = (x+k)^p*r^k +
    a[1]*(x+k-1)^p*r^(k-1) + ... + a[k]*x^p is constant and find its value.
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