how do i solve this?
let V be P2(vector space of all polynomials of degree=2 including the zero polynomial)
S={P1(t), P2(t)}
P1=t^2+2t+1
P2=t^2+2
does S span P2 ?
THANKS!
All you need for this question is the fact that V has dimension 3, and so cannot be spanned by a set with only 2 elements. I think the question has confused people because you have used P2 for both one of the elements of S and for the set of all polynomials with degree less than or equal to 2