Question 601405
  here is the answer
 the vertical asymptote is x=2 because 2 makes the denominator zero
 the zeros of the given rational function is  1 and -3
  here is the way
   x^2+2x-3 over x-2=0
     x^2+2x-3=0
     x^2+3x-x-3=0
     x(x+3)-1(x+3)=0
    (x+3)(x-1)=0
    x+3=0 or x-1=0
    x=-3 or x=1
i hope you will be satisfied