In this paper, our idea from graphical theory, according to the methods of partial fractions, a great of combinatorial identities related to Fibonacci polynomials and Fibonacci-Like polynomials will be obtained. We shows that some identities between Fibonacci polynomials ? ( )? k k o f x ? and Associated numbers ? (n, k) , Fibonacci-Like polynomials ? ( )? ,? ( )? ,? ( )? ,? ( )? ,? ( )? k k o k k o k k o k k o k k o l x P x Q x J x j x ? ? ? ? ? ? ? ? ? and Associated numbers ? (n, k) , with their generating function, and give several interesting identities involving them.

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Fibonacci Polynomial Pell Polynomial Jacobsthal Polynomial Associated Numbers Fibonacci-like Sequences Generating Function.