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Let f(x)=ax^3+bx^2+cx+1 has exterma at ...

Let `f(x)=ax^3+bx^2+cx+1` has exterma at `x=alpha,beta` such that `alpha beta < 0 and f(alpha) f(beta) < 0` f . Then the equation `f(x)=0` has three equal real roots one negative root if `f(alpha)` (a) `0 and f(beta)` (b) one positive root if `f(alpha)` (c) `0 and f(beta)` (d) none of these

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