Answer:
= 1/2x +11/4 +101/(8x -44)
Explanation:
You want the quotient of (x² -5) and (2x -11).
Polynomial long division
The long division is shown in the attachment. The result is ...
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Additional comment
It is customary to "simplify" an answer by multiplying out the factors that would otherwise be in parentheses. Here, we've put the quotient in parentheses, so it is less likely to be confused with the remainder.
The denominator of the remainder term is shown as 8x-44, rather than 4(2x-11).