The correct answer for the exercise shown in the figure attached, is the Option G, which is:
G) c-12
The explanation is shown above:
1. You have the following quadratic equation given in the problem above:
c^2-12c+32=0
2. When you factor it, you obtain:
(c-12)c+32
2. To verify that this is correct, you can apply the distributive property and you will obtain the initial form of the quadratic equation.
(c)(c)-(12)(c)+32
c^2-12c+32