Question: (a) Show that 1. (1- t), (1 - t)2, (1- t)3 is a basis for P(3). (b) Write p(t) = 1 + t3 in terms

(a) Show that 1. (1- t), (1 - t)2, (1- t)3 is a basis for P(3).
(b) Write p(t) = 1 + t3 in terms of the basis elements.

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