The Rational Roots Theorem states that the factors of the last constant term of the polynomial and factors of the coefficient of the fist term can be divided positively and negatively, which are the possible roots.
So, the last constant terms of the polynomial is 5, and the coefficient of the first term is 1, since x^3=1•x^3. Now, we must list all factors of 5 and 1.
5: 1, 5
1: 1
Because 5 is prime (5 has factors of 1 and itself) and 1 is simply a natural number, the division will be easy. Remember, the theorem states that we must divide 5 by 1 with all positive and negative factors, which will provide all the possible roots.
Possible roots: 1, 5, -1, -5