Which of the set is a subspace of the vector space P3, where

Last updated: 8/5/2022

Which of the set is a subspace of the vector space P3, where P3 is the set of all the polynomials with degree at most 3. (i) The set of all the polynomials of degree 3. (ii) The set of all polynomials in P3 such that p(1) = 0. (iii) The set of all polynomials in P3 such that p(0) = 0. (iv) The set of all polynomials in P3 such that p(0) = p(1). A. (iii) only. B. (iii) and (iv) only. C. (i) and (iii) only. D. (ii), (iii) and (iv) only. E. (i), (ii), (iii) and (iv).