Question

Let P2(R) denote the space of all polynomials having degree less than or
equal to 2. Let T : P2(R) → P2(R) be a linear transformation such that
T(x + 1) = x
T(x + 2) = x
T(x
2 + x + 1) = 2x
2 + x.
Write the linear transformation T. That is, write the expression for T(ax2 +
bx + c) for a, b, c ∈ R.

Answer 1

Step-by-step explanation:

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