Use the rational root theorem to list the possible rational zeros of a polynomial.
Last updated: June 2026 | By Patchworkr Team
The rational root theorem gives the possible rational zeros of a polynomial by combining factors of the constant term with factors of the leading coefficient.
It does not guarantee that each candidate is an actual zero. It only lists the values that must be tested.
For 2x^3 + 3x^2 - 11x - 6, the possible rational zeros are +/-1, +/-2, +/-3, and +/-6, plus the fractions formed by the leading coefficient.
No. They are candidates, so each one must still be tested in the polynomial.
No. If the leading coefficient is zero, the polynomial is no longer in standard form.
Then x = 0 is automatically a rational zero.
No. This tool is built around the integer-based rational root theorem.
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