Which of the following represents the zeros of f(x) = 6x3 − 29x2 − 6x + 5? (1 point)

−5, one third , one half

5, − one third , one half

5, one third , − one half

5, one third , one half

Option C) is correct

That is the zeros of f(x) is 5,one third ,-one half

Step-by-step explanation:

Given function is

To find the zeros of the given function using synthetic division :

5_| 6     -29      -6       5

     0      30       5       -5      

___________________

     6        1       -1        0

Therefore  x=5 is a zero

The quadratic equation is

Here a=6 ,b=1 and c=-1

Therefore

and

and

and

Therefore the zeros are 5, and

Therefore Option C) is correct

That is the zeros of f(x) is 5,one third ,-one half