HL 2.4 – Sum & product of roots of polynomials
HL 2.12: Sum and product of the roots of polynomial equations. In the 16th-century, French mathematician François Viète (and later generalized by 17th-century French mathematician Albert Girard) discovered that the sums and products of the roots of polynomial equations follow certain rules. These rules can help us reason about and solve polynomial equations - especially equations where a polynomial is equal to zero....