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

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.