Define T: P3> P2 via T(p(x)) =p'(x) – x p"(x). A) Without doing any work, is it possible that T is one to one? Why or why not? B) Without doing any work, is it possible that Tis onto? Why or why not?...

Extracted text: Define T: P3> P2 via T(p(x)) =p'(x) – x p"(x). A) Without doing any work, is it possible that T is one to one? Why or why not? B) Without doing any work, is it possible that Tis onto? Why or why not? C) Show explicitly that T is a linear transformation.