Question

plz help with linear transformations.

Answer 1

Let
\[T:P _{2}\rightarrow P _{2}\] be a linear transformation defined by
\[T(1) = xT(x) = 3-x ^{2}T(x) = 4+2x-3x ^{2}\]
Find \[T(a _{0}+a _{1}x+a _{2}x ^{2})\]

Answer 2

ur last i think u forgot the squared (it shoulb T(x^2) )