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Descartes Rule of Signs Calculator — result sheet
Count coefficient sign changes and report possible positive and negative real-root counts for a polynomial.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Positive-root possibilities equal sign changes reduced by an even number; negative-root possibilities use f(−x).
The page counts sign changes after removing zero coefficients and reports the possible counts rather than claiming exact roots.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Polynomial coefficients — Highest power first; comma-separated real coefficients.
Worked example
| Input | Value |
|---|---|
| Polynomial coefficients | 1, -3, 2, 5 |
Positive sign changes =2; negative sign changes =1.
Assumptions and limits
- Coefficients are entered highest-power first as comma-separated finite real numbers.
- The polynomial is interpreted with real coefficients and zero terms are skipped for sign counting.
- Root locations, multiplicities, complex roots, and numerical solving 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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