Can you show me how use synthetic division to find the zeroes of the function? f(x)=x^3+x^2+4x+4 you!

Solve for x:
x^3 + x^2 + 4 x + 4 = 0
The left hand side factors into a product with two terms:
(x + 1) (x^2 + 4) = 0
Split into two equations:
x + 1 = 0 or x^2 + 4 = 0
Subtract 1 from both sides:
x = -1 or x^2 + 4 = 0
Subtract 4 from both sides:
x = -1 or x^2 = -4
Take the square root of both sides:
  x = -1 or x = 2 i or x = -2 i

Yourself by using the internet