Let T: P₃-P₃, be the linear transformation such that T(2x²) = -2x² + 3x. T(-0.5x - 2) = -4x² - 4x -2, T(5x² + 1) = 2x - 1

Question

Let T: P₃->P₃, be the linear transformation such that
T(2x²) = -2x² + 3x.  T(-0.5x - 2) = -4x² - 4x -2, T(5x² + 1) = 2x - 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(ax² + bx + C) =

Kunduz · Accepted Answer

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Let T: P₃->P₃, be the linear transformation such that T(2