a) Show that the polynomials p1(x) = x2 – 1,p2(x) = x2 + 1, p3(x) = x – 1, p4(x) =x + 1 sp...

a) Show that the polynomials p1(x) = x2 – 1,

p2(x) = x2 + 1, p3(x) = x – 1, p4(x) =x + 1 span P2.

---

b) Find a subset of p1(x1), p2(x), p3(x), p4(x) that forms a basis for P2 in the manner of the proof of part (2) of Lemma 2.11.

Ref