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So, for example, if I have: x(x-2)^2 ---------- x(x+2) And I wanted to know where f(x) >0, Would I say (-2,0)U(0,2)U(2,infinity), or just (-2,2)U(2,infinity)? The only reason I am even asking this is because I don't know whether to factor out the hole (x=0) first, or leave it there.

P(X) = 2X^5 + 6X^4 - 42X^3 - 86X^2 + 192X + 360 Use synthetic division to show how to methodically obtain the factors. Must show logical thought process. This problem is REALLY stumping me. Trial and error by rational roots plugins would be too extensive, grouping is just a total cluster ****...