SOLUTION: Find the complex zeros of each polinomial function. Write f in factored form. f(x)= x^3-1

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Question 852791: Find the complex zeros of each polinomial function. Write f in factored form.
f(x)= x^3-1
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

f(x)= x^3-1    Factor & Set to 0   x = 1 a root (x-1) a factor

Using Synthetic Division to find other roots

1	1	0	0	-1				

		1	1	1

	1	1	1	0

        x^2 + x + 1

x+=+%28-1+%2B-+sqrt%28+-3+%29%29%2F%282%29+

complex Roots:

 x = -.5 + .5isqrt%283%29

 x = -.5 - .5isqrt%283%29