Factoring Calculator - Factor Polynomials Fast

Factor quadratic, cubic, and higher-degree polynomials with integer coefficients. Perfect for students learning algebra, exam prep, or quick verification of polynomial factors.

Uses Rational Root Theorem and synthetic division. Supports polynomials up to degree 6.

Polynomial Expression

Use ^ for exponents (e.g., x^2). Coefficients must be integers.

Results will appear here.

Polynomial Graph

Graph will appear here after factoring.

About Polynomial Factoring

Factoring polynomials is essential in algebra for solving equations, simplifying expressions, and analyzing graphs. This calculator factors polynomials with integer coefficients using the Rational Root Theorem and synthetic division.

How to Use

Enter a polynomial expression using x as the variable (e.g., 2x^2 - 8x + 6).
Click "Factor" to see the factored form and solution steps.
The graph will show the polynomial and its roots (x-intercepts).

Examples

Quadratic: x^2 - 3x + 2 factors to (x-1)(x-2)
Cubic: 2x^3 - 3x^2 - 3x + 2 factors to (x+1)(2x-1)(x-2)

Reference

Polynomial Type	Factoring Approach
Quadratic	Find factors of ac that add to b
Cubic/Higher	Rational Root Theorem and synthetic division

Frequently Asked Questions

What polynomial forms are supported?

Supports polynomials with integer coefficients up to degree 6. Expressions must use x as the variable.

What if the polynomial can't be factored?

The calculator will show " irreducible over the integers" if no factors are found.

Are complex roots supported?

No, only real integer and rational roots are calculated.

For informational and educational purposes only. Not professional advice. Results may vary due to rounding and mathematical limitations.

References: Rational Root Theorem; Synthetic Division; Quadratic Formula

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Factoring Calculator - Factor Polynomials Fast

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