Factorization Calculator

Formula

Use roots to form (x−r₁)(x−r₂)

Worked example

x²−5x+6 — (x − 3)(x − 2)

Quick answer

What does the Factorization Calculator do?

Factor a monic quadratic x² + bx + c when it has integer roots.

What is the Factorization Calculator?

Factor a monic quadratic x² + bx + c when it has integer roots. Use it when you have the required inputs and want a deterministic, repeatable result with the calculation method visible.

How to use this calculator

Enter the values requested by the tool, keep units and time periods consistent, resolve any validation message, calculate, then review the primary answer together with the displayed formula and supporting values.

Formula and method

This calculator uses the deterministic formula Use roots to form (x−r₁)(x−r₂). Enter the required values, then review the displayed substitution and result breakdown to verify the calculation.

Worked example

x²−5x+6 (x − 3)(x − 2)

Common mistakes to avoid

Check units, decimal points, percentages, signs, date/time order, selector choices, and rounding. For important decisions, verify the result against an independent source or qualified professional when appropriate.