Fraction Decomposition Calculator
Decompose a proper rational function into partial fractions. Enter numerator and denominator polynomials to get the decomposition.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator performs Partial Fraction Decomposition of a proper rational function P(x)/Q(x).
- Enter Numerator P(x): Type the polynomial in the Numerator field. Use
^for exponents (e.g.,x^2+3x+2). - Enter Denominator Q(x): Type the polynomial in the Denominator field (e.g.,
x^3+2x^2-x-2). - Click "Decompose": Press the blue button to calculate.
- View Results: The decomposition appears in green, with step-by-step details below.
Important: The numerator degree must be less than the denominator degree. The denominator must have rational roots or factorable quadratics. Use x as the variable and standard math notation (e.g., 2x for 2x, x^2 for x squared).
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Frequently Asked Questions
It is a method to break a complex rational function into simpler fractions, useful in integration and other algebraic manipulations.
It handles proper rational functions where the numerator degree is less than the denominator degree. The denominator must factor into linear or irreducible quadratic factors with rational coefficients.
This calculator only finds rational roots and quadratic factors with rational coefficients. Irrational roots may not be decomposed.
