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lets say for this problem i have f of x equals x squared plus two x minus eight divided by x squared plus five x plus four and lets say the question is asking find the removable discontinuities the non-room with discontinuities the vertical isotope the horizontal spoke did the remain and the range all right so the first thing i said to misha was to always factor so ladies and gentlemen if you have an opportunity to factor we have to factor so im just going to write them over here and lets see how i can factor these so this can factor to x plus four times x minus two okay this one x squared plus five x plus four can be factored into x plus four times x plus 1. whatever i agree with my factoring technique because you need to know how to do it really quickly so i can rewrite this as the factored form okay okay now in the factored form first thing i always like to do is find the vertical asymptote right but before i get to that let me just kind of get through a point ladies and gentlem
