The polynomial $$ p(x) = (x - 1)^2(x + 2) $$ has a root at $...

Question Analysis
This question tests the student's understanding of the concept of multiplicity and how it affects the roots of a polynomial.

Key Concept Explanation
The multiplicity of a root indicates how many times a factor appears in the factored form of the polynomial. For the polynomial , the root has a multiplicity of 2 because the factor appears twice.

Step-by-step Solution
1. Identify the factors: