In order to rewrite StartFraction 4 x squared minus 3 x + 5 Over 2 x squared minus x EndFraction as a sum of a polynomial and one or more simpler fractions, you must first use long division. The result of the long division is the following. StartFraction 4 x squared minus 3 x + 5 Over 2 x squared minus x EndFraction = 2 + StartFraction negative x + 5 Over 2 x squared minus x EndFraction What is the final expression? 2 + StartFraction 5 Over x EndFraction minus StartFraction 11 Over 2 x minus 1 EndFraction 2 minus StartFraction 5 Over x EndFraction + StartFraction 9 Over 2 x minus 1 EndFraction 2 + StartFraction 5 Over x EndFraction + StartFraction 9 Over 2 x minus 1 EndFraction 2 minus StartFraction 5 Over x EndFraction minus StartFraction 11 Over 2 x minus 1 EndFraction

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Answer:

The answer is B: 2-  5/x + 9/2x-1

Step-by-step explanation:

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