Question

explain why p1= 1+x+x^2, p2= x-1 for P2 is not a basis.

Answer 1

I am unsure about what the question is. It may help to know that (x-1) is not a factor of 1+x+x^2.

Answer 2

i kinda restated the question in my own words. the real question is: n words, explain why the following sets of vectors are not bases for the indicated vector spaces. So i gave two vectors and the vector space for polynomial 2

Answer 3

so for it to be a basis the vectors need to be linearly independent AND span the entire vector space right? how can is how that the set of vectors doesn't span P2?