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If f(x)=a+b x+c x^2 and alpha,beta,gamma...

If `f(x)=a+b x+c x^2 and alpha,beta,gamma` are the roots of the equation `x^3=1,t h e n \ |[a,b,c],[b,c,a],[c,a,b]|` is equal to

A

`f(alpha)+f(beta)+f(gamma)`

B

`f(alpha)f(beta)+f(beta)f(gamma)+f(gamma)f(alpha)`

C

`f(alpha)f(beta) f(gamma)`

D

`-f(alpha)f(beta) f(gamma)`

Text Solution

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The correct Answer is:
D
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