Hi just had this plonked on me and feel it would make better sense if someone could explain it to me
Symmetric properties of the roots of polynomial equations
Ax³ + Bx² + Cx + D = 0
Sum of roots : α + β + γ = -B/A
'Roots in pairs' : βγ + γα + αβ = C/A
Product of the roots : αβγ = -D/A
New equation : x³ - (sum)x² + (pairs)x - (product) = 0
I could memorise all this but would rather know what it means and how it works.