SOLUTION: Factor the polynomial below completely. F(x) = x3 + 2x2 + x + 2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the polynomial below completely. F(x) = x3 + 2x2 + x + 2      Log On


   

Question 616166: Factor the polynomial below completely.
F(x) = x3 + 2x2 + x + 2
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the polynomial below completely.
F(x) = x3 + 2x2 + x + 2
F(x) = x^2(x+2) + (x+1)
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F(x) = (x+2)(x^2+1)
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Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

Factor the polynomial below completely.

F(x) =+x%5E3+%2B+2x%5E2+%2B+x+%2B+2+  Note: x = -2 one root: -8+8-2+2 = 0

Using synthetic Division

-2	1	2	1	2

		-2	0	-2

	1	0	1	0

F(x)=+x%5E3+%2B+2x%5E2+%2B+x+%2B+2+=(x+2)(x^2+1)