Explanation:
To find the zeros of the function f(x), we need to solve the equation f(x) = 0.
f(x) = x^2 + 12x + 32
Setting f(x) equal to zero and factoring, we get:
0 = x^2 + 12x + 32
0 = (x + 4)(x + 8)
Using the zero product property, we set each factor equal to zero and solve for x:
x + 4 = 0 or x + 8 = 0
x = -4 or x = -8
Therefore, the zeros of the function f(x) are -4 and -8.