Question: Need help showing that T is a linear map and finding nullT and rangeT. Thank you in advanced! Let V = P(F) be the vector

Need help showing that T is a linear map and finding nullT and rangeT. Thank you in advanced!

Let V = P(F) be the vector space of polynomials over F , and define the map T : V - V by (TP) (x) = p(x) - xp'(x). a) Show that T is a linear map. b) Find nullT. c) Find rangeT

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