Algebraic Simplification

Factorisation Calculator

Break down quadratic expressions into their simplest components instantly with our advanced factoring engine.

Factorisation Solver

Factor Quadratic: ax² + bx + c

Coefficient a

Coefficient b

Constant c

Factorised Form(x + 2)(x + 3)

Quick Explanation

Factoring involves finding the two binomials that, when multiplied together, produce the original quadratic equation. If the discriminant is negative, the equation cannot be factored with real numbers.

Understanding Factoring

Factoring is the process of finding the factors of a mathematical expression. It is essentially the reverse of expanding (FOIL method).

The Standard Form

ax² + bx + c = 0

Where 'a' is the quadratic coefficient, 'b' is the linear coefficient, and 'c' is the constant.

Factoring Methods

1
GCF Method
Finding the Greatest Common Factor across all terms first.
2
Trinomial Factoring
Splitting the middle term or using the AC method for quadratics.
3
Difference of Squares
Recognizing patterns like a² - b² = (a - b)(a + b).