I was trying this problem and I got stumped. Could someone please explain this problem to me? Thank you!
Let T: P3->R be given by t(p(x)=p''(-4)
A) Compute T(2x^3+5x^2-4x+3)
B) show that T is in fact a linear transformation
C) Show that Ker(T) = P1
D) Show that Range(T) = R
E) Show that T can be written as a composition.