Question: In Problem 5158, use the division algorithm to rewrite each improper rational expression as the sum of a polynomial and a proper rational expression. Find

In Problem 51–58, use the division algorithm to rewrite each improper rational expression as the sum of a polynomial and a proper rational expression. Find the partial fraction decomposition of the proper rational expression. Finally, express the improper rational expression as the sum of a polynomial and the partial fraction decomposition.

x5 + x4 x + 2 x42x + 1

x5 + x4 x + 2 x42x + 1

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