Partial Fractions Calculator

Decompose a rational function into partial fractions step by step. Enter numerator and denominator polynomials.

isCalculator Editorial Team Published by:
Reviewed by: Review Board
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How to use this tool?

This calculator performs partial fraction decomposition for proper rational functions (numerator degree < denominator degree) with linear factors in the denominator.

  1. Enter Numerator – Type the numerator polynomial using ^ for exponents (e.g., 2x+3).
  2. Enter Denominator – Type the denominator polynomial (e.g., x^2+3x+2).
  3. Click "Decompose" – The calculator will find real roots and compute the decomposition.
  4. Read the Result – The output shows the partial fractions and step-by-step explanation.

Important: The calculator only supports denominators of degree 1 or 2 with real, distinct roots. Ensure the numerator degree is less than the denominator degree. Use ^ for exponents and avoid spaces in polynomials.

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Frequently Asked Questions

Partial fractions decompose a rational function into a sum of simpler fractions, making integration and other operations easier.

Currently, linear and quadratic denominators with real distinct roots are supported.

Use standard algebraic notation with ^ for exponents, e.g., 2x^2+3x+1. Omit multiplication signs.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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