Answer:
Option D is correct.
Step-by-step explanation:
[tex]\frac{x^{2} -10x+30}{x-5}[/tex]
Solving this we get:
[tex]x+\frac{-5x+30}{x-5}[/tex]
Quotient = x remainder = -5x+30
Now dividing, [tex]\frac{-5x+30}{x-5}[/tex], we get
[tex]-5+\frac{5}{x-5}[/tex]
quotient = -5 and remainder = 5
So, the answer is :
[tex]x-5+\frac{5}{x-5}[/tex]
Therefore, option D is correct.
