Formula
x²+bx+c=(x−r)(x−s) when r+s=−b and rs=c.
- 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.
- Monic integer quadratics with integer roots only. Other real or complex factorizations are outside scope.
Example Calculation
Example inputs
- Linear coefficient b: -5
- Constant c: 6
Linear coefficient b = -5; Constant c = 6. Primary result: (x − 3)(x − 2).
Frequently asked questions
How do I use this calculator?
Enter linear coefficient b, constant c. The result updates automatically. Use Reset to restore the example values.
What method does it use?
x²+bx+c=(x−r)(x−s) when r+s=−b and rs=c.. Monic integer quadratics with integer roots only. Other real or complex factorizations are outside scope.
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.