"The Rational Root Theorem is a valuable tool for tackling polynomial equations, such as the one provided: x³ - x² - 11x + 3 = 0, with the known root of (-3). Let me break down the theorem in a way that's accessible for high school geometry students:

1. The Rational Root Theorem helps us identify potential rational roots, which are numbers expressed as fractions, unlike irrational numbers like √2.
   To use this theorem, start by finding the factors of the constant term (in this case, 3) and the leading coefficient (in this case, 1). The factors of 3 are ±1 and ±3, while the factors of 1 are ±1.
   Next, you form pairs of fractions using these factors. For the given equation, you'd have ±1/1, ±3/1, ±1/1, and ±3/1. Therefore, the potential rational roots are ±1 and ±3.
   Since you already know that (-3) is a root, you can verify this by substituting it into the equation and confirming that it equals zero.
   Once you've confirmed that (-3) is a root, you can proceed to use synthetic division or polynomial long division by dividing the equation by (x + 3) to find the remaining roots."