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

x + x4 x + 2 x42x + 1
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x xx 2 x 2x 1 Dividing x1 x 0x2x 0x1 x x 0x x 0x2 x 0x2x 0x x 4 x xx 2 x 2x 1 x 1 1 x1 Fi... View full answer
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