Question

let T:P2-->P2be a linear transformation defined by
T(1)=1+x, T(x)=3-x^2, T(x)=4+2x-3x^2
a) find T(a0+a1x+a2x^2)
b) compute T(2-2x+3x^2)

Answer 1

@Coolsector help please

Answer 2

for a) my final answer is \[a_{o}(1+x)+a _{1}x(3-x ^{2})+a _{2}x^2(4+2x-3x ^{2})\]

Answer 3

@Coolsector idid this