If f(x) = (x + 4)/(x^2 + ax + b), and f(x) has two vertical asymptotes at x = 1 and x = 2, find the sum of a and b.
Since x = 1 is a vertical asymptote, the expression x - 1 will be found in the denominator.
Since x = 2 is a vertical asymptote, the expression x - 2 will be found in the denominator.
Thus, the function is: f(x) = (x + 4) / ( (x - 1)(x - 2) )
If you multiply out (x - 1)(x - 2), you will be able to find the values of a and b.