Trinomial Factoring Calculator

Factor quadratic trinomials into binomial pairs.

Equation: ax² + bx + c
Factored Form(x + 2)(x + 3)

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Factoring Trinomials

Factoring a quadratic trinomial (ax² + bx + c) means rewriting it as the product of two binomials, such as (x - 2)(x + 3). This is the reverse process of FOIL.

The "ac" Method

To factor manually, you must find two numbers that multiply to equal a × c, and simultaneously add up to equal b.

Frequently Asked Questions

Why can't some equations be factored?

If the roots are imaginary or irrational numbers (like the square root of 5), the trinomial cannot be neatly factored into integers or simple fractions.