You have aready seen several results for finding the values of expressions relating to the roots of a polynomial
⇒ In addition to these you have also used the following results for the roots of quadratic equations:
⇒ There are equivalent results to these for the roots of cubic and quartic equations
⇒ You can find an expression for the sum of the squares of a quartic equation in a similar way, by multiplying out (α + β + γ + δ)2
⇒ You can find a similar result for the sum of the cubes of a cubic equation y multiplying out (α + β + γ)3
⇒ Also see our notes on: