Factoring Trinomials Calculator

Factor trinomials and quadratic equations with step-by-step algebraic solutions using AC method and grouping techniques.

Factor trinomials of the form ax² + bx + c using various algebraic methods including the AC method and simple factoring.

Enter Trinomial Coefficients

1x² +5x +6

Coefficient a:

Coefficient of x² (cannot be 0)

Coefficient b:

Coefficient of x

Coefficient c:

Constant term

Simple Factoring: Used when a = 1, find two numbers that multiply to c and add to b
AC Method: Used when a ≠ 1, involves factoring by grouping
Trial and Error: Systematically test possible factor combinations
Completing the Square: Alternative method for difficult cases

a² + 2ab + b² = (a + b)²

a² - 2ab + b² = (a - b)²

a² - b² = (a + b)(a - b)

Special case when middle term is zero