SOLUTION: How many rational roots does x^4 + 3x^3 + 3x^2 + 3x + 2 = 0 have? A. 0 B. 1 C. 2 D. 4

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Question 951391: How many rational roots does x^4 + 3x^3 + 3x^2 + 3x + 2 = 0 have?
A. 0
B. 1
C. 2
D. 4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-4%2C4%2C-4%2C4%2Cx%5E4+%2B+3x%5E3+%2B+3x%5E2+%2B+3x+%2B+2+%29
Looks like x=-2 and x=-1 are roots.
16+%2B3%28-8%29+%2B+3%284%29+%2B+3%28-2%29+%2B+2+=+0
16-24%2B12-6%2B2=0
0=0
and
1-3%2B3-3%2B2=0
0=0
Both are roots.
C.2