Polynomial Factorization Tool

Enter Polynomial:

Factorization Techniques:

Common Factor Extraction

Factoring Quadratics

Difference of Squares

Perfect Square Trinomials

Sum/Difference of Cubes

Factoring by Grouping

Display Options:

Real-time Calculation

Highlight Key Steps

Enter a polynomial to see the factorized result

Solution steps will appear here

Find the GCF of all terms and factor it out.

Example: 3x² + 6x = 3x(x + 2)

Find two numbers whose product is c and sum is b in ax² + bx + c.

Example: x² + 5x + 6 = (x + 2)(x + 3)

If the expression is in the form a² - b².

Example: x² - 9 = (x - 3)(x + 3)

When the expression is in the form a² + 2ab + b².

Example: x² + 6x + 9 = (x + 3)²