Algebra Calculators
Polynomial Factorization Calculator
Factor a polynomial over the rationals with the rational root theorem, steps shown.
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What is Factor Polynomial?
Factoring a polynomial means writing it as a product of simpler ones. The rational root theorem narrows the possible rational roots to a finite list, so each can be tested with synthetic division.
How it works
The tool tests every candidate p/q (p dividing the constant term, q dividing the leading coefficient), divides out each root it finds and reports the multiplicity, then leaves any residual factor that has no rational roots as it is rather than pretending a general symbolic factorisation happened.
- Enter your input. Type or paste your input into the field above — the tool responds instantly.
- Review the result. Output updates live as you type. Everything runs entirely in your browser.
- Copy or download. Use the Copy button to grab the result, or Download to save it as a file.
Examples
Realistic sample
Type or paste any realistic input — the tool computes the result locally and instantly.
Common mistakes
Expecting a server round-trip
Nothing is uploaded — every tool in this category runs entirely in your browser.