Final answer:
The zeros of the polynomial function f(x) = x^4 - 4x^3 - 22x^2 + 4x + 21 are -3, 1, and 7.
Step-by-step explanation:
The zeros of a polynomial function are the values of x that make the function equal to zero. To find the zeros of the polynomial f(x) = x^4 - 4x^3 - 22x^2 + 4x + 21, we need to solve the equation f(x) = 0.
There are various methods to find the zeros of a polynomial function, but in this case, we can use synthetic division or the rational root theorem to find the possible zeros. By testing the given options, we find that the zeros of the function are -3, 1, and 7. Therefore, the correct answers are -3, 1, and 7.