Question

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.

Answer 1

Answer:

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