SOLUTION: how do I express x^3 -1 as a product of linear factors? Thanks!

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Question 817312: how do I express x^3 -1 as a product of linear factors?
Thanks!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

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 − k) 

if and only if f(k) = 0