Math / CALCULATOR

Rational Root Candidate List

Rational Root Candidate List with a worked example and explicitly bounded inputs.

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Your inputs

Adjust the values to explore a different result.

Enter nonzero constant coefficient.
Enter nonzero leading coefficient.

Formula

Any rational zero p/q in lowest terms has p dividing the constant and q dividing the leading coefficient.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Candidates only, not verified roots. The full polynomial is required to test them; zero constant is excluded.

Example Calculation

Example inputs
  • Nonzero constant coefficient: 6
  • Nonzero leading coefficient: 2

Nonzero constant coefficient = 6; Nonzero leading coefficient = 2. Primary result: ±1/2, ±1, ±3/2, ±2, ±3, ±6.

Frequently asked questions

How do I use this calculator?

Enter nonzero constant coefficient, nonzero leading coefficient. The result updates automatically. Use Reset to restore the example values.

What method does it use?

Any rational zero p/q in lowest terms has p dividing the constant and q dividing the leading coefficient.. Candidates only, not verified roots. The full polynomial is required to test them; zero constant is excluded.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.