Roots of Polynomials (Further)

Question 1

Roots of Quadratic

Answer 1

b/a = -(α + β)
c/a = αβ

Question 2

Roots of Cubic

Answer 2

b/a = -(α + β + γ)      -Σα
c/a = αβ + αγ + βγ      Σαβ
d/a = -αβγ      -Σαβγ

Question 3

Roots of Quartic

Answer 3

b/a = -(α + β + γ + δ)      -Σα
c/a = αβ + αγ + αδ + βγ ...    Σαβ
d/a = -(αβγ + αβδ ...)     -Σαβγ
e/a = αβγδ      -Σαβγδ