If f(x) = (x + 4)/(x^2 + ax + b) and f(x) has two vertical asymptotes at x=1 and x=2, then find the sum of a and b.
Equate the denominator to the quadratic witht the given asymtopes as roots
x^2 + ax+b = (x-1)(x-2)
= x^2 -3x+2 a = -3 b = 2