Difference between revisions of "2012 UNCO Math Contest II Problems/Problem 11"
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== Solution == | == Solution == | ||
| − | + | <math>x^4-x^3-\tfrac{1}{2}x^2-\tfrac{1}{6}x+\tfrac{1}{24}</math> | |
== See Also == | == See Also == | ||
| − | {{ | + | {{UNCO Math Contest box|n=II|year=2012|num-b=10|after=Last Question}} |
[[Category:Intermediate Algebra Problems]] | [[Category:Intermediate Algebra Problems]] | ||
Latest revision as of 03:27, 13 January 2019
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 .
Solution
See Also
| 2012 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
