Determining if H is a Subspace of V in P3

[jacko_20]

* Determine whether H, a subset of the vector space V, is a subspace of V.
V=P3, H={p is an element of P3: p(0)=0

Any help is greatly appreciated!

 

[HallsofIvy]

To get help, you are first going to have to try.

Do you understand what "P3" means? How would you write an arbitrary member of P3?
Once you have done that, what must be true if it is in H?

What do you need to prove to show that a subset is a subspace? (Look at the definition of "subspace".)