Final answer:
The given set of polynomials in Pn such that p(0) = 0 is a subspace of Pn.
Step-by-step explanation:
In order to determine if the given set is a subspace of Pn, we need to check if it satisfies the three properties of a subspace: closure under addition, closure under scalar multiplication, and contains the zero vector.
For the given set, which consists of all polynomials in Pn such that p(0) = 0, we can see that it satisfies these properties. Adding two polynomials with zero constant term will also have a zero constant term, and multiplying a polynomial by a scalar will still have a zero constant term. Additionally, the zero polynomial satisfies p(0) = 0, so it is in the set.
Therefore, the given set is indeed a subspace of Pn.