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

(Created page with "== Problem == == Solution == == See also == {{UNCO Math Contest box|year=2017|n=II|num-b=7|num-a=9}} Category:Intermediate Algebra Problems")
 
(Problem)
Line 1: Line 1:
 
== Problem ==
 
== Problem ==
  
 +
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,
 +
for what integer <math>n</math> is the first polynomial a factor of the second one? As always, justify your
 +
answer.
  
 
== Solution ==
 
== Solution ==

Revision as of 01:17, 20 May 2017

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