M and N: Relationship in Spanning and Subsets of Polynomials

[jacko_20]

* If p1,p2,……pm span Pn, write down a mathematical relationship between m and n.

I know that Pn means the space of all polynomials of degree at most n, and this is an (n+1) dimension space, but I am not sure what kind of mathematical relationship the question is looking for :s

Any help is greatly appreciated!

 

[HallsofIvy]

If Pn has dimension n+1, what must be true of any set that spans it? (In particular how many vectors are there in any basis?)