Answer :
Your polynomial function may not have rational roots. Irrational zero and imaginary zero do not appear in the list of rational zeros obtained from this theorem.
The rational zero theorem produces a list of all possible roots of polynomial functions, so it is not guaranteed to find roots of polynomial functions. So the difference between rational and real zero is that "the fractional form of rational zero is terminating or repeating, while real zero is terminating, repeating and non-terminating". The rational zero theorem states that each zero of a polynomial with integer coefficients is the ratio of the coefficient of the constant term to the coefficient of the principal coefficient.
Learn more about Constant here-
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