Question 817312
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
how do I express x^3 -1 as a product of linear factors?
Using synthetic Division and that x = 1 is a root
1	1	0	0	-1
		1	1	1
	1	1	1	0
(x-1)(x^2 + x + 1)  |Note: (x^2 + x + 1) cannot be factored
The factor theorem states that a polynomial f(x) has a factor (x &#8722; k) 
if and only if f(k) = 0
{{{drawing(300,300,   -6, 6, -6, 6, grid(1), 
circle(1, 0,0.3),
graph( 300, 300, -6, 6, -6, 6,0, x^3-1))}}}