Question 468363
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
f(x) = x3 + 5x2 + 6x + 2  | x = -1 a root as -1 + 5 - 6 + 2 = 0
Using synthetic division
(x3 + 5x2 + 6x + 2)/(x+1) = x^2 + 4x + 2 

-1	1	5	6	2
		-1	-4	-2
	1	4	2	0
(x+1)(x^2 + 4x + 2)
   {{{x = (-4 +- sqrt( 8 ))/(2) = (-4 +- sqrt( 4*2 ))/(2)  }}}

zeros are: -1, -2+sqrt(2),-2-sqrt(2)