Which binomial is a factor of c2−12c+32? f c−2 g c−12 h c−8 j c−1 explain

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