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Saylor Innovations Data Desk – Polynomial Root Finder
x402
Saylor Innovations Data Desk – Polynomial Root Finder is a paid API for AI agents from saylorinnovations.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-18).
Computes real and complex roots of a polynomial (degree 1–6) from its coefficients, with discriminant and vertex for quadratics and a human-readable equation string
Price / call$0.01
Success—
StatusUnknown
How this service works
Find the real and complex roots of a polynomial up to degree 6, with discriminant and vertex for quadratics and a readable form of the equation
Output
Returns the polynomial degree, a readable text form of the equation, the input coefficients array, all roots as objects with real part, imaginary part, an is_real flag and a text label, plus counts of real and complex roots. For quadratics, also includes the discriminant and vertex.
Example use cases
Solve a quadratic for classroom use
“I need the roots, discriminant, and vertex of the quadratic 2x^2 + 4x - 6 — can you solve it and show me the equation in readable form?”
Find complex roots of a cubic
“What are all the roots, including any complex ones, of the cubic polynomial x^3 - 6x^2 + 11x - 6?”
Factor a sixth-degree polynomial
“Can you find the real and complex zeros of the degree-6 polynomial with coefficients 1, -2, 0, 3, -1, 0, 5 — highest power first?”
Technical details
Endpoint
GEThttps://saylorinnovations.com/api/math/polynomial?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need to programmatically solve polynomial equations of degree 1–6, especially when you also need structured output like the discriminant, vertex (for quadratics), and separate real vs. complex root counts in a single call. It is particularly useful in educational tools, symbolic math pipelines, or engineering workflows where coefficient arrays are already known and formatted.
Side effects
- Coefficients string not provided or malformed — API returns error
- Polynomial degree exceeds 6 — not supported
- Coefficients represent a degree-0 constant — may return error or undefined behavior
- Non-numeric values in coefficients string — parsing failure
- Empty coefficients string — missing required parameter error
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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