Answer:
So
Step-by-step explanation:
Since we are dividing by a linear factor, I'm going to use synthetic division.
Since the linear factor that we are dividing by is (x-5), I'm going to put 5 on the outside:
5 | 1 -12 8
| 5 -35
|--------------------------
1 -7 -27
So the quotient x-7 while the remainder is -27.
So
You could do long division if you prefer:
x-7
------------------------
(x-5) | x^2-12x+8
- (x^2-5x)
--------------------------
-7x+8
-(-7x+35)
---------------------
-27
You still get the same thing that the quotient is x-7 and the remainder is -27.