Difference between revisions of "2012 UNCO Math Contest II Problems/Problem 11"
(Created page with "== Problem == Construct a <math>4</math>th degree polynomial <math>x^4+ax^3+bx^2+cx+d</math> that meets as many of the following conditions as you can: the sum of the roots is ...") |
m (moved 2012 UNC Math Contest II Problems/Problem 11 to 2012 UNCO Math Contest II Problems/Problem 11: disambiguation of University of Northern Colorado with University of North Carolina) |
(No difference)
|
Revision as of 20:22, 19 October 2014
Problem
Construct a th degree polynomial
that meets as many of the
following conditions as you can: the sum of the roots is
, the sum of the squares of the roots
is
, the sum of the cubes of the roots is
, and the sum of the
th powers of the roots is
.