Dear neeraj

f(x)=(x-2)²(1-x)(x-3)³(x-4)²/(x+1) ≤ 0

 (x-2)² (x-3)²(x-4)²   is always positive

at x=2,3,4   (x-2)² (x-3)²(x-4)² is  zero 

so x=2,3,4 is a solution  

now for  (1-x)(x-3)/(x+1) ≤ 0

  or        (x-1)(x-3)/(x+1) ≥ 0

so silution is [-1,1] and [3,∞) 

so final solution   [-1,1] and [3,∞)  and 2

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