One of the factors of g² - 32g + 256 is:
g + 8, g - 8, g - 16, g + 16

Solution:

The given equation is a quadratic equation.

To find the factor of given equation we need to use middle term factorisation.

The equation can be rewritten as follows:

f(x) = g² - 2 × 16 × g + 16 × 16

= g² - 16g - 16g + 16 × 16

= g(g - 16) - 16(g - 16)

= (g - 16)(g - 16)

= (g - 16)²

The factor of the given equation is (g - 16).

One of the factors of g² - 32g + 256 is

Summary: 

The one of the factor of the given equation g² - 32g + 256 is (g - 16).