Let V = P2 be the vector space of all polynomials of degree at most 2, with the usual definitions of addition and scalar multiplication, and define W C V by W = {ao + ajx + a2x² : ao, a1, a2 E R with a¡a2 > 0} Which one of the following statements is true? O a. W is closed under addition, but not under scalar multiplication. O b. W is closed under scalar multiplication, but not under addition. W is not closed under either addition or scalar multiplication. O d. W is a subspace of V.

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