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**1. Give information**

Let T: P3 ---> P3 be the linear transformation described by:

T(p(x))=p(x+1)+p(2-x).

Find the matrix of T with respect to the standard basis b {1,x,x^2,x^3}.

## The Attempt at a Solution

I found the transformations on the standard basis b:

T(1) = 2

T(x) = 3

T(x^2) = 2x^2 -2x +5

T(x^3) = 9x^2 - 9x + 9

I am confused on what to do next...