List all the possible rational zeros f(x)=x^3-3x^2-14x+12 and determine which are zeros

The zeros are x+3 , and

and is given by

Step-by-step explanation:

Given polynomial function is

To find the zeros:

Equate the polynomial function to zero

That is f(x)=0

By using synthetic division method we can find zeros

-3_| 1     -3     -14     12

      0    -3       18   -12

    _______________

      1      -6      4      0

Therefore x+3 is a zero

Ie., x=-3

Now the quadratic equation is

Here a=1 , b=-6 and c=4

Therefore and

and

Therefore the zeros are x+3 , and

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step-by-step explanation:

yes

step-by-step explanation: