- #1
pugola12
- 5
- 0
Homework Statement
Give a formula for the extended function that is continuous at the indicated point.
(x3-4x2-11x+30)/(x2-4), x=2
Homework Equations
The Attempt at a Solution
I know that I have to factor the top and bottom so that I can cancel terms that cause the function to be undefined at x=2, and I know how to do everything after that. However, I'm stuck on how to factor x3-4x2-11x+30. I know that the factors are (x-5)(x-2)(x+3), but I don't know how to go about getting there. I tried grouping, but it didn't work since there is no way that I see to factor -11x+30.
x3-4x2-11x+30
x2(x-4)-11x+30
I tried grouping other ways, but they did not work either.