Algebra
# Rational Root Theorem

What is the sum of all the rational roots of \( x^3 - 9x^2 + 3x -27 =0 \)?

What is the sum of the rational roots of \(f(x) = x^3 - 6x^2 + 18x -65\)?

**Details and assumptions**

You may choose to read the blog post on the rational root theorem.