Please share your calculations for (a), (b), (c) & (d)View attachment 30810
I need help to find (e). Thanks in advance ^_^
Thanks. What I see here is that you were shown how to derive formulas for [imath]S_n[/imath] from the fact that the coefficients easily give you [imath]\Sigma\alpha[/imath], [imath]\Sigma\alpha\beta[/imath], [imath]\Sigma\alpha\beta\gamma[/imath], and so on. The assignment asks you to first apply the provided formulas, and then to take it one step further by deriving your own formula for [imath]\Sigma\alpha^2\beta[/imath], which presumably can be obtained by similar thinking.Yes, I am just applying a taught formula as I've learnt how to derive most of these, I'm only having trouble to derive the formula to obtain the answer for (e). My Sn notation is meant for the sum of roots such as \(S_1= \alpha + \beta + \gamma\), or \(S_2= (\alpha)^2+ (\beta)^2 + (\gamma)^2\), etc.). These are some of the formulas I've been taught in the attachments below: