Roots of polynomial
Values that satisfy f(x)=0
Sum of roots S1 for degree n poly
S1=−anan−1
Sum of products (2 roots) S2 for degree n
S2=anan−2
Product of all roots P for degree n
P=(−1)nana0
α+β+γ for ax3+bx2+cx+d=0
−ab
αβ+βγ+γα for cubic
ac
αβγ for ax3+bx2+cx+d=0
−ad
α2+β2+γ2 in terms of S1,S2
S12−2S2
α1+β1+γ1 formula
PS2
(c+α)(c+β)(c+γ) expanded
c3+S1c2+S2c+P