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Calculator Tools
Algebra Calculators

Factoring Calculator

Factor polynomials with integer coefficients, such as x³ − 7x + 6 or 6x² + x − 2, into linear and irreducible factors.

Enter values

Results update as you type.

Result

Factored form

(x + 2)(x - 3)(2x - 1)

Expanded
2x^3 - 3x^2 - 11x + 6
Roots
-2, 0.5, 3

About the Factoring Calculator

Factor polynomials with integer coefficients, such as x³ − 7x + 6 or 6x² + x − 2, into linear and irreducible factors.

Also known as: factor polynomial, factorise, factor quadratic, factor trinomial, factorization calculator.

How to use this calculator

  1. Enter polynomial.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

Rational root theorem: rational roots are ±(factor of constant)/(factor of leading coefficient)

Worked example

Using the values pre-filled in the calculator above:

  • Polynomial: 2x^3 - 3x^2 - 11x + 6

the calculator returns:

  • Factored form: (x + 2)(x - 3)(2x - 1)
  • Expanded: 2x^3 - 3x^2 - 11x + 6
  • Roots: -2, 0.5, 3