Factoring Trinomials Calculator
Factor ax² + bx + c by finding its roots.
Factoring a trinomial means writing it as a product of two binomials using its roots.
The math behind it
Find the roots r₁ and r₂ with the quadratic formula; then ax² + bx + c = a(x − r₁)(x − r₂). Real factors exist only when the discriminant b² − 4ac ≥ 0.
Worked example
x² − 5x + 6 → roots 2 and 3 → (x − 2)(x − 3).
FAQ
What if the discriminant is negative?
The trinomial has no real factors; it factors only over the complex numbers.