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

Let f(x) be a polynominal with real coefficients such that `xf(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

A

(a)positive

B

(b)negative

C

(c)0

D

(d)Inadequate data

Text Solution

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The correct Answer is:
C
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