Rational Root Theorem

Lists every possible rational zero of a polynomial, as a fraction of two factors.

The Rational Root Theorem: for a polynomial with integer coefficients, every possible rational zero has the form $\frac{p}{q}$ , where $p$ divides the constant term and $q$ divides the leading coefficient. It produces a finite candidate list to test, not a guaranteed answer.

Examples

For $f(x) = 2x^3 - 3x^2 - 11x + 6$ , candidates are $\pm\{1,2,3,6\} / \pm\{1,2\}$ .