Polynomial Roots Calculator — सूत्र

## Polynomial Roots via Vieta's Formulas

### For a Cubic ax³ + bx² + cx + d = 0

Vieta's formulas relate the roots (r₁, r₂, r₃) to the coefficients:

- **r₁ + r₂ + r₃ = -b/a** (sum of roots)
- **r₁r₂ + r₁r₃ + r₂r₃ = c/a** (sum of pairwise products)
- **r₁r₂r₃ = -d/a** (product of roots)

### Discriminant

The discriminant tells you about the nature of the roots:
- Δ > 0: three distinct real roots
- Δ = 0: a repeated root
- Δ < 0: one real root and two complex conjugate roots