Let T1: Pn Pn and T2: Pn Pn be the linear operators given by T1(p(x)) = p(x 1) and

Chapter 8, Problem 18

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Let T1: Pn Pn and T2: Pn Pn be the linear operators given by T1(p(x)) = p(x 1) and T2(p(x)) = p(x + 1). Find (T1 T2)(p(x)) and (T2 T1)(p(x)).

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