Hello, I have been stuck with this problem:
What is the value of b+c if x^2+bx+c>0 only when x is (-inf, -2) U (3, inf)
I'm not entirely sure on how to solve this problem, a little push in the right direction would be helpful,
Thanks in advance!
Basically this is a parbola with the zeroes at -2 and 3 .......it is negative in between these two points (less than zero)
(x+2)(x-3) = x^2 -x - 6
(you can calc b+c from here)
here is the graph:
https://www.desmos.com/calculator/yofniiyxqn
Basically this is a parbola with the zeroes at -2 and 3 .......it is negative in between these two points (less than zero)
(x+2)(x-3) = x^2 -x - 6
(you can calc b+c from here)
here is the graph:
https://www.desmos.com/calculator/yofniiyxqn