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Let f(x)=((x-3)(x+2)(x+6))/((x+1)(x-5)) ...

Let `f(x)=((x-3)(x+2)(x+6))/((x+1)(x-5))` Find intervals where `f(x)` is positive or negative

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We have `f(x)=((x-3)(x+2)(x+6))/((x+1)(x-5))`
The critical points are `(-6),(-2),(-1),3,5`

For `f(x)gt0,Aax epsilon (-6,-2)uu(-1,3)uu(5,oo)`
Fro `f(x)lt0,AA x epsilon (-oo, -6)uu(-2,-1)uu(3,5)`
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ARIHANT MATHS-THEORY OF EQUATIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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  21. Let alpha and beta be the roots of x^2-6x-2=0 with alpha>beta if an=al...

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