2017 AMC 10A Problems/Problem 24
Revision as of 14:59, 8 February 2017 by Fuegocaliente (talk | contribs) (Created page with "==Problem== For certain real numbers <math>a</math>, <math>b</math>, and <math>c</math>, the polynomial <cmath>g(x) = x^3 + ax^2 + x + 10</cmath>has three distinct roots, and...")
Problem
For certain real numbers 
, 
, and 
, the polynomial ![\[g(x) = x^3 + ax^2 + x + 10\]](http://latex.artofproblemsolving.com/1/9/b/19bd1aae4cf00cac12042acf2f2dd99c6f179c35.png)
has three distinct roots, and each root of 
is also a root of the polynomial ![\[f(x) = x^4 + x^3 + bx^2 + 100x + c.\]](http://latex.artofproblemsolving.com/2/2/0/220c07851848a30837a8227c41b3ef91db1d210b.png)
What is 
?
