Expression Factorizer

Factor polynomials and algebraic expressions over the rationals, with the result checked against the original expression.

Your result will appear here

Fill in the fields and press Factor, or pick one of the examples.

About the Expression Factorizer

Writes a polynomial or algebraic expression as a product of factors with rational coefficients — common factors, differences of squares, trinomials and higher-degree polynomials.

Results come from a symbolic engine and are checked numerically against your input at several sample points before they are displayed.

Limitations

Factoring is over the rational numbers: $x^2 - 2$ is left as it is rather than split into $(x - \sqrt2)(x + \sqrt2)$ .

How to use it

Type the expression to factor.
Press Factor.
If nothing changes, the expression is irreducible over the rationals or outside what the engine can factor.

Example

x^2 - 5x + 6

→ (x - 2)(x - 3)

Formulas used

a^{2} - b^{2} = (a - b)(a + b)

Difference of squares.

a^{3} \pm b^{3} = (a \pm b)(a^{2} \mp ab + b^{2})

Sum and difference of cubes.

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About the Expression Factorizer

Limitations

How to use it

Formulas used

Related tools

About the Expression Factorizer

Limitations

How to use it

Formulas used