Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Polynomial Division
Synthetic Division
Residue Theorem
Polynomial Roots
Multiplicity of Roots

Formulas

Polynomial division f(x) / (x - c)
Residue theorem for polynomials
Formula for determining roots: f(x) = 0

Theorems

Residue Theorem
Fundamental Theorem of Algebra

Suitable Grade Level

High School (Grades 10-12)