Polynomial Roots Calculator
Find the real and complex roots of polynomials up to degree 4.
Polynomial Degree
Coefficients
Enter coefficients from highest to lowest degree
f(x) = x^2 -5x +6 = 0
Roots
two real roots
x1 = 3.000000
x2 = 2.000000
Discriminant: 1.0000
Formulas Used
Linear (ax + b = 0): x = -b/a
Quadratic (ax² + bx + c = 0): x = (-b ± √(b²-4ac)) / 2a
Cubic: Cardano's formula
Quartic: Numerical Newton-Raphson method
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
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Formula Source: Handbook of Mathematical Functions
by Abramowitz & Stegun
🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.