Find constants $A$ and $B$ such that \[\frac{x - 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}\]for all $x$ such that $x\neq -1$ and $x\neq 2$. Give your answer as the ordered pair $(A,B)$
If you let x go infinity, then you get 0 = A - B.
If you let x = 0, then you get 7/2 = A/(-2) + B.
The solution to this system is then A = 7, B = 7, so (A,B) = (7,7).
sorry, it says it's incorrect. @asinus can you help?
