2017 UNCO Math Contest II Problems/Problem 8

Revision as of 00:17, 20 May 2017 by Timneh (talk | contribs) (Problem)

Problem

For what integer $n$ does $x^2 - x + n$ divide into $x^{13} - 233x - 44$ with no remainder? That is, for what integer $n$ is the first polynomial a factor of the second one? As always, justify your answer.

Solution

See also

2017 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions