Polynomial Evaluation Calculator
Evaluate a coefficient-defined polynomial and its derivative at a list of points.
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How to use Polynomial Evaluation Calculator
Coefficients are in ascending powers: c0+c1×x+c2×x². Compensated Horner evaluation computes both the polynomial and its derivative, retaining intermediate product and addition residuals.
- Enter coefficients, constant first, evaluation points.
- Check the model, units, and supported limits before calculating.
- Run the tool, inspect the result, then copy or download it.
Good to know
- Degree at most 20 and at most 100 evaluation points. No expression parser. Compensated intermediate operands are bounded to 1e300; non-finite results are rejected. Near roots, input rounding still limits accuracy.
- Runs locally. Numeric inputs are bounded; floating-point output is approximate and rounded to 12 significant digits. Unsupported or non-finite calculations produce an error.
Common questions
How does Polynomial Evaluation Calculator calculate its result?
Coefficients are in ascending powers: c0+c1×x+c2×x². Compensated Horner evaluation computes both the polynomial and its derivative, retaining intermediate product and addition residuals.
What assumptions and boundaries apply?
Degree at most 20 and at most 100 evaluation points. No expression parser. Compensated intermediate operands are bounded to 1e300; non-finite results are rejected. Near roots, input rounding still limits accuracy.
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