SOLUTION: Use “Synthetic Division” to determine if i, –i , and –2 are zeros of f(x) = x³ + 2x² + x + 2

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Question 87748: Use “Synthetic Division” to determine if i, –i , and –2 are zeros of f(x) = x³ + 2x² + x + 2
Answer by stanbon(75887) About Me  (Show Source):
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Use “Synthetic Division” to determine if i, –i , and –2 are zeros of f(x) = x³ + 2x² + x + 2
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-2).....1....2....1....2
.........1....0,,,,1,,|..0
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Remainder is zero
Quotient is x^2+1.
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Factoring x^2=1 you get (x+i)(x-i)
Therefore the zeroes are -2, i, and -i
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Cheers,
Stan H.