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Fibonacci polynomials are a sequence of polynomials that are related to the Fibonacci numbers. They are defined recursively, similar to the Fibonacci numbers themselves. The \(n\)-th Fibonacci polynomial, denoted \(F_n(x)\), can be defined as follows: 1. \(F_0(x) = 0\), 2. \(F_1(x) = 1\), 3.

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