SOLUTION: I need help to find the real zeros of this function. And I'm supposed to use the real zeros to factor it. f(x)=x^3+6x^2+6x-4 I have no idea how to do this so help would be a

Question 489054: I need help to find the real zeros of this function. And I'm supposed to use the real zeros to factor it.
f(x)=x^3+6x^2+6x-4
I have no idea how to do this so help would be awesome. Thanks
Answer by dan_math(11) (Show Source): You can put this solution on YOUR website!
You should factor the equation x^3+6x^2+6x-4 to get this
(x+2) (x^2+4 x -2)
use the factors (b)of your free term -4 which are +/-1, +/-2 and +/-4. also make sure they are factors for your function verifying that f(b)= 0 .
then the zeros are x=-2, x=-2-sqrt6 , x=-2+sqrt6
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