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