Which of the following represents the zeros of f(x) = x3 − 12x2 + 41x − 42?
7, −3, 2
7, −3, −2
7, 3, 2
7, 3, −2

Given the polynomial function

The integer zeros should be divisors of free term -42.

The divisors of -42 are:

If some of these number is zero of f(x), then f takes 0 value at this point.

Check them:

Since the third degree polynomial function may have only 3 zeros, then you can end this process and state that zeros are 2, 3 and 7, because f(2)=0, f(3)=0 and f(7)=0.

correct choice is C