determine whether the given function is a linear transformation by showing proofs.

T:P2->P2, defined by T(p(x))= p'(x)+x^2

(P2 means polynomial 2

p'(x) means derivative of p

x^2 means x squared)

T:P2->P2, defined by T(p(x))= p'(x)+x^2

(P2 means polynomial 2

p'(x) means derivative of p

x^2 means x squared)

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