Set P(x) and Q(x)
Examples
Results
Quotient H(x)
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Proper part
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Factor terms and coefficients
| Factor | Power | Term | Coefficients |
|---|
How it's calculated
FAQ
Can it handle repeated and quadratic factors?
Yes. The solver clusters complex roots into real linear and irreducible quadratic factors, allocates the right number of unknowns for every power, and solves them in one Gaussian sweep.
How do I export or share the decomposition?
Use Copy LaTeX for typesetting, Export CSV for a structured table, and Share to copy a URL with your current inputs so classmates and students can review the same breakdown.
What input format should I use for repeated factors?
Enter the fully expanded denominator polynomial. For example, use x^4 + 2x^2 + 1 instead of (x^2 + 1)^2 so the current parser can read the repeated quadratic factor.
Related calculators
How it's calculated
- Decomposes rational functions into partial fractions.
- Handles distinct/repeated linear factors and irreducible quadratics.
- Shows solved coefficients and reconstructed check.