Problem H-8

Due is DSC 203 by 12 Noon, Friday March 08, 2002

Proposed by Valentin Matache

Let p(x) be the following polynomial

$$p(x)=1+x+x^2+\dots+x^{2001}+x^{2002} .$$

Show that not all the roots of p(x) are real.

Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder

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Last modified:   Sat Mar 2 11:01:14 CST 2002