Hello, please help me find the find slant asymptote, using synthetic division.

I am putting an example of the steps I need to see please follow that format! (yellow is the part where the asymptote is being worked on)

12. A polynomial f(x) has the given zeros of 5, -1, and 2. Part C: List all locations and types of discontinuities of the function g(x). (3 points) A . f(x )=(X-sXX+1 (x-2) B. 9(x) - x3- 6*2+3X+10 (X-5)(* *1( x-2) (x-5Xx2- 2X +x-2) X ?- 3x-4 (x - 4 X+D (X - 5X x 2 _X- Common factor ( X# 1 ) 9(x)= (X-5Xx-2) X3 - 2* -5x2+5X +10 ( X-5XX-2) X - 4 X2-2X-5X +10 f(x )= X - Lox +3x + 10 X - 4 =0 X - 7x + ID X= 4 slant asy 4/1 - 7 10 C. 4 - 12 1- 3 1X- 3 =>X-3 31:25 / 37:00 CC 202T-08-22