Simple
\(x^2 + 5x + 6 = (x + 2)(x + 3)\)
Calculatrice de factorisation
Factoriser les expressions quadratiques sous leur forme la plus simple avec solutions détaillées étape par étape
Résultats
Entrez les valeurs et cliquez sur Calculer pour voir le résultat.
Theory & Formula
Factoring is the process of breaking down a polynomial into simpler expressions (factors) that multiply together to give the original polynomial.
For quadratic expressions, factoring reveals the roots (zeros) of the polynomial:
- Standard form: ax² + bx + c
- Factored form: a(x - r₁)(x - r₂) where r₁ and r₂ are the roots
- Special cases: Perfect squares, difference of squares
- Not all quadratics factor nicely over integers
\(ax^2 + bx + c = a(x - r_1)(x - r_2)\)
Worked Examples
Difference of Squares
\(x^2 - 9 = (x - 3)(x + 3)\)
Perfect Square
\(x^2 + 6x + 9 = (x + 3)^2\)
Leading Coefficient
\(2x^2 - 8x + 6 = 2(x - 1)(x - 3)\)