Question

α,β and ¥are the roots of cubic polynomial ax3+bx2+cx+d then 1/αβ +1/β¥+1/¥α=_____​

Answer 1

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Fundamental facts:

If α,β,γ are the roots of cubici equation

$ax {}^{3} + bx {}^{2} + cx + d = 0$

$then \: a + \beta + \gamma = - \frac{b}{a}$

$a \beta + \beta \gamma + \gamma a = \frac{c}{a}$

$and \: \: a \beta \gamma = - \frac{d}{a}$