Question 636743
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Find the complex zeros of the polynomial.
f(x)=x^3-512   |Note x = 8, a real root
using synthetic Division:
8	1	0	  0	-512
 	 	8	 64	 512
 	1	8	 64	   0
yields
      x^2 + 8x + 64 = 0
 {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
 {{{x = (-8 +- sqrt( -192))/(2) }}}
 {{{x = (-8 +- sqrt((-1)*64*3))/(2) }}}
      {{{ x = -4 +- 4i*sqrt(3)}}}