Free browser tool

Polynomial Workbench

Create a polynomial from coefficients, evaluate it at a selected x value, and generate derivative, antiderivative, and Horner forms.

Polynomial

Evaluation

Derivative

Antiderivative

Horner form

Coefficient order matters

Enter coefficients from the highest power down to the constant term, including zeros for missing powers. The generated antiderivative includes a zero placeholder before the displayed + C constant of integration.

Worked example and guidance

Use Polynomial Workbench with a checkable example

Example input

x² - 5x + 6

Expected output

Factored form (x-2)(x-3) and roots 2, 3

For the example above, the output should be read as a calculation under the input and branch conventions shown by the tool. Polynomial Workbench performs the browser-side transformation or calculation, but the mathematical convention, units, domain, and intended publishing format still come from your problem.

How to use it

  1. Enter or paste a small known number or algebraic expression before using a larger real-world example.
  2. Choose the required options and run Polynomial Workbench; keep the original input available for comparison.
  3. Read the result together with its domain restrictions, substituted values, and independent recomputation, then copy or export only after the check passes.

Useful for

  • Checking a worked example
  • Exploring how inputs change a result
  • Preparing a clean result for a technical note

Limits and checks

  • The tool may show numeric rather than symbolic results
  • Extraneous or excluded solutions still require a domain check
  • Browser floating-point arithmetic has finite precision

Polynomial Workbench FAQ

Does Polynomial Workbench upload my input?

No. The published tool runs in the browser. Avoid placing confidential material in share URLs or exported files that you later send elsewhere.

How should I verify a Polynomial Workbench result?

Start with the worked example, inspect the domain restrictions, substituted values, and independent recomputation, and compare one result with an independent calculation or representation.

What should I do when the input is rejected?

Reduce the input to the smallest failing number or algebraic expression, check delimiters and supported syntax, then add the remaining structure back one step at a time.

Maintained reference

How this tool was checked

Tool documentation records what was tested, which sources define compatibility, and where the browser utility stops.

Supporting tool

Review record

Last reviewed
2026-07-26
Method
Functional browser checks and output inspection.
Verified against
The tool's declared browser behavior and sample cases.

Known limits

  • Verify output in the destination application before graded, published, engineering, financial, or safety-critical use.

Primary sources

No external compatibility source is declared for this supporting tool.

See the editorial and review policy, the source hierarchy, or submit a correction.

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