Originally Posted by

**chickeneaterguy** Hello everyone. I have a practice test and there are some T/F questions on it. I don't know the answers for sure but I have guesses. Can you please tell me what the answers are and possibly explain?

True/False?:

1. P2 is a Subspace of P3 **(I think it's true)**

2. D[0,1], the set of all differential functions over [0,1] is a subspace of C[0,1] **(I think it's true)**

3. {ax^2 + bx + c : b = 0} is a subspace of P2 **(I think it's true....or maybe not)**

4. There is a basis for P3 which contains the function f defined by f(x) = x^2 - x + 1 **(True..(x^2, -x, 1)?)**