Let T : P3 → P3 be the linear transformation such that T(2x²) = −4x² – 3x, Find T(1), T(x), T(x²), and T(ax² + bx + c), where a, b, and c are arbitrary real numbers. T(1): T(x) = T(x²) = T(ax² + bx + c) = T(−0.5x – 2) = −4x² + 3x +3, T(2x² − 1) = − 2x – 3. -

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