Question: Let T : P 3 P 3 be the linear transformation satisfying T (1)=3 x^ 2+3, T ( x )=4 x 3, T ( x

Let T:P3P3 be the linear transformation satisfying T(1)=3x^2+3, T(x)=4x3, T(x2)=5x^2x8.

Find the image of an arbitrary quadratic polynomial ax^2+bx+c

.T(ax^2+bx+c)=

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