(16 points) Let T :P3 + P3 be the linear transformation such that T(2x²) = 4x2 – 2x, T(-0.5x + 3) = -4x2 – 2x +1, T(2x²
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(16 points) Let T :P3 + P3 be the linear transformation such that T(2x²) = 4x2 – 2x, T(-0.5x + 3) = -4x2 – 2x +1, T(2x²
(16 points) Let T :P3 + P3 be the linear transformation such that T(2x²) = 4x2 – 2x, T(-0.5x + 3) = -4x2 – 2x +1, T(2x² + 1) = 3x +1. 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) = Tax2 + bx + c) =
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