Answer:
(x-6)
Explanation:
There are many ways to divide this, one of them is done below.
(x^2-11x+30)/(x-5)
Factorize (x^2-11x+30),
(x^2-6x-5x+30)
(x(x-6)-5(x-6))
(x-5)(x-6)
We have,
(x^2-11x+30)/(x-5)
(x-5)(x-6)/(x-5)
(x-5) cancel each other,
(x-6)
You can also use synthetic division, traditional division or other methods of division.