Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Proper rational function with two distinct real linear factors supplied. Expression is undefined at either root.
Example Calculation
- Numerator x coefficient: 3
- Numerator constant: 1
- First root r: 1
- Second root s: -1
Numerator x coefficient = 3; Numerator constant = 1; First root r = 1; Second root s = -1. Primary result: 2.
Frequently asked questions
How do I use this calculator?
Enter numerator x coefficient, numerator constant, first root r, second root s. The result updates automatically. Use Reset to restore the example values.
What method does it use?
(ax+b)/((x−r)(x−s))=A/(x−r)+B/(x−s); A=(ar+b)/(r−s); B=a−A.. Proper rational function with two distinct real linear factors supplied. Expression is undefined at either root.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.