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**scott_237** thanks matt, I eventually ended up doing the polynomial long divison method as it seemed easier. One more question about this, my answer looks identical to the polynomial method answer in the link in the first post but now that I worked out the final answer - how do I use (-3x+11) and (x/4 + 3/4) to draw the graph? and how do I conclude that there are vertical asymtotes at x = -1 and 2 from the answer that I got, I just factorise the divisor right? Thanks a lot for your help btw