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2012 UNCO Math Contest II Problems/Problem 11

Revision as of 21:22, 19 October 2014 by Timneh (talk | contribs) (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)

Problem

Construct a $4$th degree polynomial $x^4+ax^3+bx^2+cx+d$ that meets as many of the following conditions as you can: the sum of the roots is $1$, the sum of the squares of the roots is $2$, the sum of the cubes of the roots is $3$, and the sum of the $4$th powers of the roots is $4$.


Solution

See Also

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