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

[Kidphysics]

Why must a polynomial be finite in length? Is there such thing as a recursive polynomial? Thanks guys!

 

[pmsrw3]

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".