Question

let T :P2 to P3 be the function defined by T((p(x))) =xp(x-3)

show that T is a linear transformation

Answer 1

What is p(x)?

Answer 2

let me re-write the question using the equation

\[\let T:P _{2} \rightarrow P _{3} be the function defined by T((p(x)))=xp(x-3)\]
show that T is a linear trnsformation.