Polynomial bisection calculator
Find a sign-changing root with explicit bracket and tolerance requirements.
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Use comma-separated finite numbers on two lines. Magnitudes must be at most 1e9 and at least 1e-12, or zero.
The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.
Calculation results
- Root estimate
- 1.4142141
- Polynomial at estimate
- 0.0000016174172
- Bracket half-width
- 9.5367432e-7
- Iterations
- 19
How to interpret the output
Finds one bracketed root of a continuous polynomial. Endpoint signs must differ unless an endpoint is exactly a root. The returned interval half-width bounds location error for a bracketed root, not model uncertainty. Multiple or even-multiplicity roots can be missed. Limited to 200 iterations. Source checked 14 November 2026.
Method reference