Polynomial Factoring Calculator

Summary

Enter the coefficients of a quadratic or cubic polynomial and instantly get its factored form and all roots.

How it works

1. Select the degree of your polynomial: quadratic (degree 2) or cubic (degree 3).
2. Enter each coefficient (a, b, c, and optionally d) into the input fields.
3. Click "Factor" or let the tool compute on input change.
4. The calculator finds all roots using the quadratic formula or Cardano's method.
5. The factored form and each root are displayed with full step-by-step detail.

Use cases

• Factor a quadratic equation for algebra homework.
• Find all roots of a cubic polynomial in engineering problems.
• Verify hand-factored results against a reliable calculator.
• Understand whether a polynomial has real or complex roots.
• Decompose polynomials before applying partial fractions.
• Quickly check discriminant sign for solution classification.

Frequently Asked Questions