Respuesta :

Edufirst
You can use Ruffini to find the roots:

      3      + 12    +3      -18

1            +3      +15    +18
     ----------------------------------
    3        +15   +18        0

-2             -6    -18
   -----------------------------------
     3         +9        0

-3            -9
    ----------------------
     3        0

Then the roots are 1, -2 and - 3

Their sum is 1 - 2 - 3 = - 4
abidemiokin

The sum of the roots of the polynomial shown below is -4

Roots of a polynomial function

Polynomial functions are function that has a leading degree of 3 and above. Given the function below;

F(x)=3x^3+12x^2+3x-18

Factor out the GCF

f(x) = 3x^2(x + 4) 3(x - 6)

Since there is no common factor, we will use the synthetic division as shown

  3      + 12    +3      -18

1            +3      +15    +18

    ----------------------------------

   3        +15   +18        0

-2             -6    -18

  -----------------------------------

    3         +9        0

-3            -9

   ----------------------

    3        0

From the division, we can see that the zeros are 1, -2 and - 3

Sum of zeros = 1 -2 - 3

Sum of zeros. = -4

Hence the sum of the roots of the polynomial shown below is -4

Learn more on root of polynomial here: https://brainly.com/question/2833285

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