Final answer:
The zeros of the function f(x) = (x+4)(x-8) are x = -4 and x = 8, found by setting each factor equal to zero and solving for x.
Step-by-step explanation:
The zeros of a function are the values of x for which the function equals zero.
For the function f(x) = (x+4)(x-8), we can find the zeros by setting each factor equal to zero. This gives us two equations: x+4 = 0 and x-8 = 0.
To find the zeros, we solve these equations:
- x + 4 = 0 — Subtract 4 from both sides to get x = -4.
- x - 8 = 0 — Add 8 to both sides to get x = 8.
Therefore, the zeros of the function are x = -4 and x = 8.