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## Homework Statement

How can I find the base and dim of U here?, V = P3; U = {p in P3 : p'(0) = p(1)}...

## Homework Equations

## The Attempt at a Solution

now I've proven it is a subspace and that it is closed under addition and scalar multiplication...but how can I find the base and dim?I was thinking about writing it as p(x)=a+bx+cx^2+dx^4=>p(x)'=b+2cx+3dx^2

and...p'(0)=p(1)=>b=a+b+c+d=>d=-a-c...

Thank you