What are the zeros of the quadratic function? f (z) = 3z^2-11z-4 Enter your answers, as simplified fractions if necessary, in the boxes.

z=4 and z=-1/3 are the zero's

Step-by-step explanation:

To find the zeros of the quadratic function, we need to set it equal to zero.

f (z) = 3z^2-11z-4

0 = 3z^2-11z-4

Now we need to factor the function

0 = (z - 4) (3 z + 1)

Then using the zero product property set each factor to zero

0 = z-4 0 = 3z+1

Now solve

0+4 = z-4+4 0 - 1 = 3z+1-1

4 = z - 1 = 3z

-1/3 = 3z/3

-1/3 = z