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Chapter 4
                                  Polynomials











                                     This short chapter contains no linear algebra. It does contain the
                                  background material on polynomials that we will need in our study
                                  of linear maps from a vector space to itself. Many of the results in
                                  this chapter will already be familiar to you from other courses; they
                                  are included here for completeness. Because this chapter is not about
                                  linear algebra, your instructor may go through it rapidly. You may not
                                  be asked to scrutinize all the proofs. Make sure, however, that you
                                  at least read and understand the statements of all the results in this
                                  chapter—they will be used in the rest of the book.

                                                     Recall that F denotes R or C.


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