SOLUTION: P(x) = x4 − 3x3 + 11x2 − 27x + 18 factor each polynomial as a product of linear factors.

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Question 812933: P(x) = x4 − 3x3 + 11x2 − 27x + 18
factor each polynomial as a product of linear factors.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,



P%28x%29=+x%5E4+-+3x%5E3+%2B+11x%5E2+%2B+18

Using Synthetic Division ( 1 and also 2 are roots)

1	1	-3	11	-27	18

		1	-2	9	-18

	1	-2	9	-18	0

					

2	1	-2	9	-18	

		2	0	18	

	1	0	9	0	

 P(x) = (x-1)(x-2)(x^2 + 9) = (x-1)(x-2)(x-3i)(x+3i)