Math
Factoring Trinomials Calculator
Factor ax² + bx + c by finding its roots.
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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).Frequently Asked Questions
What if the discriminant is negative?
The trinomial has no real factors; it factors only over the complex numbers.
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