Why must a polynomial be finite in length? Is there such thing as a

AI Thread Summary
A polynomial must be finite in length because that is its defining characteristic; if it extends infinitely, it is classified as a power series instead. The concept of a recursive polynomial is questioned, but the term is not standard in mathematics. The discussion emphasizes the importance of definitions in understanding polynomial properties. Clarification on recursive polynomials leads to a search for more information. Overall, the distinction between polynomials and power series is crucial in mathematical terminology.
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Why must a polynomial be finite in length? Is there such thing as a recursive polynomial? Thanks guys!
 
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Kidphysics said:
Why must a polynomial be finite in length?
Well, because that's the definition. If it's infinite in length it's called a power series.

Is there such thing as a recursive polynomial? Thanks guys!
http://www.google.com/search?q=recursive+polynomial".
 
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