Difference between revisions of "2007 Alabama ARML TST Problems/Problem 6"
(New page: ==Problem== If <math>r</math> is a root of <math>x^2+x+6</math>, then compute the value of <cmath>r^3+2r^2+7r+17.</cmath> ==Solution== Note that <math>r^2+r+6=0</math>. Thus, <math>r^3+2...) |
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is a root of 
, then compute the value of
![\[r^3+2r^2+7r+17.\]](http://latex.artofproblemsolving.com/9/c/5/9c508526503e4cc19b41f4dd851afae120a73632.png)
. Thus, 
.
