The linear transformation T:P2 → P2 is defined as T(ax^2 +bx+c) = bx^2 +ax−3c. (a) Compute T (3x^2 − 2x + 5). (b) We can write T ◦ T as T^2. Describe T^2. (c) Describe T3. (d) Describe Tn for any positive integer n.

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