For every polynomial $$P(x)=a_n{x}^n+a_{n-1}{x}^{n-1}+\dots +a_{1}x+a_0$$ where all coefficients are integers, the Rational Root Theorem states:

1. All integer roots must be a factor of the constant $a_0.$
2. All rational roots must have a numerator that is a factor of $a_n$ and a denominator that is a factor of $a_0.$