Let f(x)=((x-3)(x+2)(x+5))/((x+1)(x-7))....

Let `f(x)=((x-3)(x+2)(x+5))/((x+1)(x-7))`. Find the intervals were f(x) is positive or negative .

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The correct Answer is:

`f(x) gt 0 AA x in (-5,-2) cup (-1,3) cup ( 7,oo) , f(x) lt 0 AA x in (-oo,-5) cup (-2,-1) cup (3,7)`

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