Let p1(t) = t and p2(t) = t + 1 be polynomials in P3. (a) Show that p1(t) and p2(t)} are linearly independent. (b) Find two polynomials p3(t) and p4(t) so that B = {p1(t), p2(t), p3(t), p4(t)} is a basis of P3.

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