Partial Decomposition Calculator
Compute the partial fraction decomposition of a rational function. Enter numerator and denominator polynomials to get the decomposition with step-by-step explanation.
Published by:
isCalculator Editorial Team
Was this calculator helpful?
How to use this tool?
How to Use the Partial Fraction Decomposition Calculator
This calculator decomposes a rational function P(x)/Q(x) into simpler fractions. It supports polynomials with integer coefficients and linear factors.
- Enter Numerator P(x): Type the numerator polynomial in terms of x (e.g.,
x^2+3x+2). Use^for exponents. - Enter Denominator Q(x): Type the denominator polynomial (e.g.,
x^3+2x^2-x-2). The denominator must be factorable into linear factors with integer roots. - Click "Calculate": Press the blue button to compute the decomposition.
- View Results: The decomposition appears in green, with step-by-step details below it.
- Enter polynomials exactly as shown (e.g.,
x^2notx2). - The calculator only handles denominators that factor into linear factors with integer roots (e.g.,
(x-1)(x+2)). - If the numerator degree is >= denominator degree, polynomial division is performed first.
- If an error occurs, check your input format or try simpler polynomials.
Notes:
Previous Results
| Result | Inputs | Date |
|---|
Frequently Asked Questions
It is a method to break down a rational function into a sum of simpler fractions, making integration or other operations easier.
Currently, only denominators that factor into linear factors with integer roots are supported. More complex factors may not be handled.
Use standard notation like x^2+3x+2. Terms are separated by + or -. Coefficients can be integers or decimals.
