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If the f(x) be a polynomial function such that f(0)=-1 f(1)=1 f(2)=-2 f(3)=

If the f(x) be a polynomial function such that f(0)=-1 f(1)=1 f(2)=-2 f(3)=-2 then the minimum number of roots of equation (f'(x))^3 +2f(x)f'(x)f"(x) = 0 in (0,3) is

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