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There is Polynomials by E.Barbeau contains all the basics, and has a lot of exercises too.

On a similar spirit is Polynomials by V.V. Prasolov.

I've found the treatment in both these books very nice, with lots of examples/applications and history of the results.

Oh, and in case you are interested in orthogonal polynomials, I believe the standard reference is Szegö's book.

show/hide this revision's text 1

There is Polynomials by E.Barbeau contains all the basics, and has a lot of exercises too.

On a similar spirit is Polynomials by V.V. Prasolov.

I've found the treatment in both these books very nice, with lots of examples/applications and history of the results.