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Polynomial Evaluation Calculator — result sheet
Evaluate a polynomial from a coefficient list using Horner’s method.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For coefficients aₙ…a₀, evaluate (((aₙx+aₙ₋₁)x+…)x+a₀).
Horner’s method evaluates each coefficient in order and avoids separately calculating every power.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Coefficients, highest power first — For x²−3x+2 enter 1, -3, 2.
- Input x — minimum -1000000000000; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Coefficients, highest power first | 1, -3, 2 |
| Input x | 4 |
Polynomial value =6.
Assumptions and limits
- The coefficient list is finite and ordered from highest power to constant.
- At least one coefficient is supplied.
- Symbolic factorization and root finding are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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