How does the Descartes Rule of Signs work?

Write polynomial in descending degree order Then: Count sign changes in coefficients Then: Number of positive roots equals this count or less by even integer Then: Apply to determine possible root locations.

Can you give an example of how to use the Descartes Rule of Signs?

Example: Input x³ - 2x² - x + 2 (signs: + - - +) gives a result of 2 sign changes = 2 or 0 positive roots (Narrowscope for root finding).

Is the Descartes Rule of Signs free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Descartes Rule of Signs?

Our Descartes Rule of Signs uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Matematik

Descartes Rule of Signs

Predicts number of positive real roots in a polynomial using sign changes.

Difficulty:advanced

References

›Descartes Rule Of Signs — Wikipedia

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