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3 October, 08:16

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.

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  1. 3 October, 11:08
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    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
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