Polynomial Factorization Calculator

Instantly factor polynomials into irreducible factors. Supports integer and rational coefficients with clear results.

Polynomial Factorization Calculator

Instantly factor polynomials into irreducible factors. Supports integer and rational coefficients with clear results.

Polynomial Expression

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What is Polynomial Factorization?

Polynomial factorization is the process of expressing a polynomial as the product of simpler polynomials (factors). Just as the number 15 can be factored into 3 × 5, a polynomial like x² - 4 can be factored into (x + 2)(x - 2). This technique is fundamental for solving algebraic equations, finding roots, and simplifying rational expressions.

Input Guide

Exponents: Use the caret symbol '^' (e.g., x^2 for x²).
Multiplication: Use an asterisk '*' (e.g., 2*x) or implicit multiplication (e.g., 2x).
Variables: The default variable is 'x', but you can specify others.
Grouping: Use parentheses '()' to group terms if needed.