- #1
Nexttime35
- 46
- 1
Homework Statement
The problem asks, find a basis for the P2 subspace that consists of polynomials, p(x) such that p'(5)=0.
The Attempt at a Solution
I know that a set of vectors is a basis if it's linear independent and spans the vector space.
So I let p(x) = ax2 + bx +c .
Then p'(x) = 2ax + b.
p'(2) = 4a + b
I set that equal to 0. so 4a+b = 0. then 4a=-b, and a= =1/4*b.
Now I am stuck as to where to go from here when finding a basis (prof hasn't really taught this yet)
I was wondering what the next step would be?
Thank you.