Polynomials — Key Formulas
- Quadratic ax² + bx + c (zeroes α, β):
- α + β = −b/a
- αβ = c/a
- Quadratic with given zeroes: x² − (α + β)x + αβ
- Cubic ax³ + bx² + cx + d (zeroes α, β, γ):
- α + β + γ = −b/a
- αβ + βγ + γα = c/a
- αβγ = −d/a
- Division algorithm: p(x) = g(x) × q(x) + r(x)