Consider the differential operator T: P2(R) P2(R) given by T(p(x)) = p'(x) + (2 2x)p(x) Find...

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Consider the differential operator T: P2(R) P2(R) given by T(p(x)) = p'(x) + (2 2x)p"(x) Find an ordered basis F for P2(R) such that T acts like a shift operator with respect to F, i.e. ME(T) = Basis F = Enter your basis as polynomials separated by comma: e.g. x, 2x + 1, 2 0 0 = 1 0 0 0 1 0 Consider the differential operator T: P2(R) P2(R) given by T(p(x)) = p'(x) + (2 2x)p"(x) Find an ordered basis F for P2(R) such that T acts like a shift operator with respect to F, i.e. ME(T) = Basis F = Enter your basis as polynomials separated by comma: e.g. x, 2x + 1, 2 0 0 = 1 0 0 0 1 0