How to Use Rational Zero Calculator
The Rational Zero Calculator accepts an integer polynomial in x. Enter a polynomial such as 2x^3 - 3x^2 - 8x + 12. The Rational Zero Calculator lists all possible p / q candidates and tests them.
The result shows the leading coefficient, constant term, candidate rational zeros, and actual rational zeros found by substitution.
Formula & Theory — Rational Zero Calculator
The Rational Zero Calculator uses the rational zero theorem. If p / q is a rational zero in lowest terms, p must divide the constant term and q must divide the leading coefficient.
This theorem narrows a potentially infinite search to a finite candidate list. The Rational Zero Calculator then evaluates each candidate to determine which ones are true zeros.
Use Cases for Rational Zero Calculator
Use the Rational Zero Calculator for algebra homework, polynomial equation solving, factor theorem practice, graph intercept checks, and studying rational roots. The Rational Zero Calculator is especially helpful for cubic and quartic equations where candidate lists get long.