Question

Is the rational zero test (rational root theorem) always true?

Answer 1

Well it is the RATIONAL root theorem. If a polynomial fails the test, then it is certain that there aren't rational roots. If it passes the test, it doesn't guarantee the presence of rational roots - it merely gives you the possibilities.

Answer 2

It works for rational zeros. If your equation has one rational zero, then synthetic division would give you the depressed quadratic eqn which can be solved using the quadratic formula.

Answer 3

Thus the name...