Partial Fractions Calculator
Decompose a rational function into partial fractions step by step. Enter numerator and denominator polynomials.
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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.
- Enter Numerator – Type the numerator polynomial using
^for exponents (e.g.,2x+3). - Enter Denominator – Type the denominator polynomial (e.g.,
x^2+3x+2). - Click "Decompose" – The calculator will find real roots and compute the decomposition.
- 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.