If f(x) is some general polynomial, what will the power series expansion of f(x) be. Is there a set rule for finding the power series of polynomials.
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1It is itself. A polynomial is a finite power series. – Bernard Apr 15 '15 at 20:32
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A power series, following Wikipedia, is an infinite sum $$ \sum_{n=0}^{\infty} a_nx^n, $$ where $a_n$ are the coefficients of the $n$-th term. If for some $n\in \mathbb{N}$ it holds that $a_m=0$ when $m\geq n$, and $a_n\neq 0$, then you obtain a polynomial of degree $n$.
Alberto Debernardi
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