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So for some reason I have the hardest time trying to work with polynomials in linear algebra. I can't explain it, but whenever I see a question I draw a complete blank.

Question: i) Find all the eigenvalues. ii) for each eigenvalue λ, find a basis of the eigenspace E_{λ}.

T: P_{3}(R) --> P_{3}(R) defined by T(p)(x) = p'(x) + 2p(x)

So this is all I'm given. My question is what polynomials do I use to find the eigenvalues, and once I find those eigenvalues how do I find the eigenvectors? I'm inclined to try and solve it like eigenvector problems with matrices, problem is I don't know how to put this into a matrix.

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# Simple Eigenvector Question

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