SOLUTION: factor x^3 + 8x^2 + 2x +16

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Question 817776: factor x^3 + 8x^2 + 2x +16
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

factor 

x^3 + 8x^2 + 2x +16 = 0

The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0

Synthetic Division using root  x = -8

-8	1	8	2	16

		-8	0	-16

	1	0	2	0

 (x+8)(x^2 + 2) 

or (x+8)(x - i%2Asqrt%282%29)(x + i%2Asqrt%282%29)