Question: 5. Let S {p(x)= a + bx | a+b=0}. = a) Show that S is a subspace of P2. [Hint: use theorem 3 or

5. Let S = {p(x) = a + bx | a+b=0}. a) Show that S is a subspace of P2. [Hint: use theorem 3 or 4 of section

5. Let S {p(x)= a + bx | a+b=0}. = a) Show that S is a subspace of P2. [Hint: use theorem 3 or 4 of section 3.2]. Explain clearly. b) Find a basis for S. Specify the dimension of S. [Hint: solve a + b =0 for a; then substitute into p(x) and collect like terms]

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