What is the quotient in simplest form? state any restrictions on the variable. will award brainliest

(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

ok

step-by-step explanation: