Difference between revisions of "2017 UNCO Math Contest II Problems/Problem 8"

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== Problem ==
 
== Problem ==
  
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For what integer <math>n</math> does <math>x^2 - x + n</math> divide into <math>x^{13} - 233x - 44</math> with no remainder? That is,
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for what integer <math>n</math> is the first polynomial a factor of the second one? As always, justify your
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answer.
  
 
== Solution ==
 
== Solution ==
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-1
  
 
== See also ==
 
== See also ==

Latest revision as of 03:11, 13 January 2019

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

-1

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