代数学

Quadratic Factorization Calculator

Easily factorize quadratic equations of the form ax² + bx + c with our interactive calculator. Visualize the quadratic graph, understand roots, and copy results.

Enter Coefficients

Factors:

Quadratic Graph Visualization

Discriminant ():

Understanding Quadratic Factorization

Quadratic factorization is the process of expressing a quadratic equation in the form ax² + bx + c as a product of two linear factors. This tool helps you find these factors and understand the nature of the roots based on the discriminant ().

- If , there are two distinct real roots, and the quadratic can be factored into two different linear factors.

- If , there is exactly one real root (a repeated root), and the quadratic can be factored into a perfect square.

- If , there are no real roots, and factorization over real numbers is not possible, though complex roots exist.

Learn more about quadratic equations and factorization on resources like Wikipedia and Khan Academy.