Let P,(t)=1–3t+2- 4tº, P2(t)=2–1+4tº, P;(t)=-4 – 31° +71' and P.(t)=-1-41+31° + 3tº be polynomials in Ps. Also, let H = Span{PuP2, PayPa}. a. Is the set {P1, P2, P3Pa} linearly independent? b. Find a basis B for H. c. Does the set {P»P2, P3, Pa} span P, ? d. Let p(t)=-5t-8t°. Is p in H ? Explain. If so, write the coordinates of p with respect to the basis B you found in part a.