Does anyone know the significance of the rational zero test? Is it the rational root test? I can find the rational root test, but I don't know where I can find the reason for the rational zero test. Any clue?

Answer 1

I do not know of a difference between rational zeros and rational roots. As far as I know what we call a "root" is a zero of the polynomial. The idea is that if all coefficients are integers the factors must be ratios of the leading coefficient and the constant term.
Do a google search on rational zero test