Lot P infinity be the vector space consisting of all polynomial functions. Which of the following arc subspaces of P infinity? Justify your answer in each case. The set of polynomials f(x) satisfying f(l) = 0. The set of polynomials f(x) satisfying f(0) = 1. The set of polynomials f(x) satisfying f(0) = f'(l). The set of polynomials f(x) satisfying f(0)f(l) = 0. The set of polynomials of the form ax2 + bx + a, where a. b are any real numbers.
