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

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

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 Algebra: Functions, Domain, NOT graphing Solvers Lessons Answers archive Quiz In Depth

 Question 87748: Use “Synthetic Division” to determine if i, –i , and –2 are zeros of f(x) = x³ + 2x² + x + 2Answer by stanbon(57214)   (Show Source): You can put this solution on YOUR website!Use “Synthetic Division” to determine if i, –i , and –2 are zeros of f(x) = x³ + 2x² + x + 2 ---------------- -2).....1....2....1....2 .........1....0,,,,1,,|..0 --------------------------------- Remainder is zero Quotient is x^2+1. -------- Factoring x^2=1 you get (x+i)(x-i) Therefore the zeroes are -2, i, and -i ======================== Cheers, Stan H.