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Let f(x) be a polynominal with real coef...

Let f(x) be a polynominal with real coefficients such that `f(x)=f'(x) times f'''(x).` If f(x)=0 is satisfied x=1,2,3 only, then the value of f'(1)f'(2)f'(3) is

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`f(x)=0" has roots 1,2,3 only".`
`rArr" "`Any one of 1,2 or 3 is a repeated root of f(x)=0
`rArr" "f'(1) or f'(2) or f'(3)" is zero "`
`rArr" "f'(1)cdotf'(2)cdotf'(3)=0`
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