Answer:
(z-2) (z+4) z cannot equal -4,-2,3
Step-by-step explanation:
z^2-4 z+2
---------- ÷-----------
z-3 z^2+z-12
Copy dot flip
z^2-4 z^2 +z-12
---------- *-----------
z-3 z+2
Factor
(z-2)(z+2) (z+4) (z-3)
--------------- *-----------
z-3 z+2
The restrictions on the variables are all terms except the first numerator cannot go to zero
z-3 =0 z+2 =0 and (z+4) = 0 (z-3)=0
z=3 z=-2 z=-4 z=3
You must find the restrictions before you cancel
Cancel
(z-2) (z+4)
--------------- *-----------
1 1
(z-2) (z+4) z cannot equal -4,-2,3
