Polynomial Factorization Calculator

Enter a quadratic polynomial ax² + bx + c to see its factored form.

Result

Original—
Discriminant (D)—
Factored—
Roots—

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Automatic Quadratic Factorization

Enter a quadratic polynomial in the form ax² + bx + c and get the factored result automatically. See results instantly without complex calculations.

Check Factorizability with Discriminant

Calculate discriminant D = b² - 4ac to check if factorization is possible and the type of roots. D > 0 gives two distinct real roots, D = 0 gives a double root, D < 0 gives complex roots.

Math Learning and Problem Solving

Quickly check answers to factorization problems taught in middle and high school math classes and understand the calculation process.

Using the Quadratic Formula

Use the quadratic formula x = (-b ± √D) / 2a to calculate exact roots and derive the factored form based on them.