Quadratic Factorization Calculator
Unlock the factors of any quadratic equation and visualize its graph. Enter the coefficients below to get started!
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Quadratic Graph Visualization
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.