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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
(a)three equal real roots
(b)one negative root if `f(alpha)` > `0 and f(beta)` <0
(c)one positive root if `f(alpha)` < `0 and f(beta)` >0
(d) none of these

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