Quickly find roots of any polynomial equation with our free Polynomial Root Calculator. Get instant, accurate results for quadratic, cubic, and higher-degree equations.
Polynomial Root Calculator
Find roots (zeros) of polynomial equations
Format: ax² + bx + c = 0
Examples:
Format: ax³ + bx² + cx + d = 0
Examples:
Format: ax⁴ + bx³ + cx² + dx + e = 0
Examples:
Polynomial Roots
DEMO
x² – 5x + 6 = 0
Root 1 (x₁)
3
Root 2 (x₂)
2
| Property | Value |
|---|---|
| Polynomial Degree | 2 (Quadratic) |
| Number of Roots | 2 |
| Root 1 (x₁) | 3 |
| Root 2 (x₂) | 2 |
| Factored Form | (x – 3)(x – 2) |
| Discriminant | 1 (Two real roots) |
Quadratic Formula:
x = (-b ± √(b²-4ac)) / 2a
Discriminant: Δ = b² – 4ac
If Δ > 0: Two distinct real roots
If Δ = 0: One repeated real root
If Δ < 0: Two complex conjugate roots
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