Rational Root Test Calculator

This rational root test calculator lists every possible rational root of a polynomial with integer coefficients, using the rational root theorem, turning root-finding into a short, manageable search instead of guesswork. You enter two numbers: the leading coefficient, the number in front of the highest power of x, and the constant term, the number with no x attached. The calculator finds every factor of the constant term and every factor of the leading coefficient, then builds each candidate by dividing a constant factor by a leading factor, with a plus and minus version of each. It returns the full list of candidates, the total number of candidates found, and a note showing how the constant and leading factors were combined to build that list. The theorem guarantees that any rational root of the polynomial appears somewhere on this list, though it does not tell you which candidates, if any, are genuine roots; you still need to substitute each one into the polynomial and check for a result of zero. This makes it a fast first step before factoring or solving a polynomial by hand, useful for algebra students and anyone tackling homework or exam revision. Try the default values of 1 and -6 to see the candidates plus or minus 1, 2, 3 and 6, then test each in your polynomial to find the true roots.

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