Factoring Calculator

Factor a quadratic expression ax² + bx + c using its roots.

Calculate

Enter your values below.

Result

Factored form
0

Formula used

The quadratic formula finds the roots r1 and r2, so ax² + bx + c = a(x − r1)(x − r2).

Example: x² − 5x + 6 = (x − 2)(x − 3).

How to use this calculator

  1. Enter a, b, c.
  2. Press Calculate to see your result instantly.

Frequently asked questions

What if the roots aren't whole numbers?

The factored form still applies, just with decimal roots shown.

What if the roots are complex?

The expression can't be factored over the real numbers, and the calculator will note this.

Does this work for non-quadratic expressions?

No, this tool specifically factors quadratics (degree 2) using their two roots.

How is factoring useful?

It reveals the values of x that make the expression equal zero.