Given the map T : P R where T(p) = ( answer the following questions. Example P(0) 7 calculation: if p(t) = 2t + 1, then T(p) = B (a) Show that T is a linear transformation. (b) Find a polynomial p in P2 so that kerT = Span{p} and write a general form for the range of T in terms of information from a generic p(t) = at + bt + c.