roots of polynomials

Question 1

roots of a quadratic ax²+bx+c=0

Answer 1

μ and § are roots

μ + § = -b/a
μ§ = c/a

Question 2

roots of a cubic equation

Answer 2

roots are μ, §, λ

μ + § + λ = -b/a
μ§ + §λ λμ = c/a
μ§λ = -d/a

Question 3

roots of a quartic equation

Answer 3

roots are μ, §, λ, β

μ + § + λ + β = -b/a
μ§ + §λ + λμ + μβ + β§ + βλ = c/a
μ§λ + §λβ + βμ§ + λμ§ = -d/a
μ§λβ = e/a

Question 4

rules for reciprocals