SOLUTION: solve the equation x^3+2x^2+x+2=0, if -2 is a root.

Question 465062: solve the equation x^3+2x^2+x+2=0, if -2 is a root.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve the equation x^3+2x^2+x+2=0, if -2 is a root.
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Use synthetic division:
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-2)....1...2....1....2
........1...0....1...|..0
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Quotient: x^2+1
Remainder: 0
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Factor the quotient expression:
x^2+1 = 0
(x+i)(x-i) = 0
x = i or x = -i or x = -2
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Cheers,
Stan H.
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