Let P2(R) denote the space of all polynomials having degree less than

1.	Let P2(R) denote the space of all polynomials having degree less than orequal to 2. Let T : P2(R) → P2(R) be a linear transformation such thatT(x + 1) = xT(x + 2) = xT(x2 + x + 1) = 2x2 + x.Write the linear transformation T. That is, write the expression for T(ax2 +bx + c) for a, b, c ∈ R.
Answer» Step-by-step EXPLANATION: fksglzkgzfkzjfsyosits

Let P2(R) denote the space of all polynomials having degree less than orequal to 2. Let T : P2(R) → P2(R) be a linear transformation such thatT(x + 1) = xT(x + 2) = xT(x2 + x + 1) = 2x2 + x.Write the linear transformation T. That is, write the expression for T(ax2 +bx + c) for a, b, c ∈ R.

Answer»

Step-by-step EXPLANATION:

fksglzkgzfkzjfsyosits

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Let P2(R) denote the space of all polynomials having degree less than orequal to 2. Let T : P2(R) → P2(R) be a linear transformation such thatT(x + 1) = xT(x + 2) = xT(x2 + x + 1) = 2x2 + x.Write the linear transformation T. That is, write the expression for T(ax2 +bx + c) for a, b, c ∈ R.

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