The zeros of f(x) are: x = -1, x = -2, and x = 4.
Factor the polynomial:
Observe that f(-1) = 0, therefore (x + 1) is a factor.
Use polynomial division to divide f(x) by (x + 1), resulting in the quotient x^2 - 2x - 8.
Further factorize the quotient as (x + 2)(x - 4).
Identify zeros:
Set each factor equal to 0:
x + 1 = 0 --> x = -1
x + 2 = 0 --> x = -2
x - 4 = 0 --> x = 4
Therefore, the zeros of f(x) are: x = -1, x = -2, and x = 4.