Interactive Quadratic Factoriser

Quadratic: \(ax^2 + bx + c\)

a: b: c:

Enter the coefficients of \(ax^2 + bx + c\).
Example: \(x^2 - 3x - 10\) has \(a = 1\), \(b = -3\), \(c = -10\).

A. Automatic factoriser

Click the button to factorise (when possible) and find roots.

B. Factorisation trainer (ac method)

For \(ax^2 + bx + c\), find two numbers \(m\) and \(n\) such that \(m + n = b\) and \(m \times n = ac\).

m: n:

C. Complete the square & roots

Convert to completed square form and find the roots (if they exist).