1. The problem statement, all variables and given/known data Determine if this set is a vector space. Either show that the necessary properties are satisfied, or give an example showing that at least one of them is not. -The set P of all polynomials, with the usual definition of scalar multiplication, but with addition defined as polynomial multiplication (so f + g (warped addition) is equal to the product of f and g). 2. Relevant equations 3. The attempt at a solution I know that scalar multiplication holds up, but I don't understand what to do with the polynomial multiplication part.