document.write( "Question 87748: Use “Synthetic Division” to determine if i, –i , and –2 are zeros of f(x) = x³ + 2x² + x + 2 \n" ); document.write( "
Algebra.Com's Answer #63635 by stanbon(75887)\"\" \"About 
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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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\n" ); document.write( "-2).....1....2....1....2
\n" ); document.write( ".........1....0,,,,1,,|..0\r
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\n" ); document.write( "Remainder is zero
\n" ); document.write( "Quotient is x^2+1.
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\n" ); document.write( "Factoring x^2=1 you get (x+i)(x-i)
\n" ); document.write( "Therefore the zeroes are -2, i, and -i
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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