document.write( "Question 600322: I need help solving a polynomial using synthetic division. \r
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Algebra.Com's Answer #379272 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
(4x^3-9ix^2+5x+(8-4i))/(x-i)
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document.write( "The other tutor's answer is wrong.\r\n" );
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document.write( "Start with this:\r\n" );
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document.write( "i | 4  -9i   5   8-4i\r\n" );
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document.write( "Bring down the 4\r\n" );
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document.write( "i | 4  -9i   5   8-4i\r\n" );
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document.write( "    4  \r\n" );
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document.write( "Multiply the 4 by the i gatting 4i. Write 4i above and to the \r\n" );
document.write( "right of the 4 that you brought down, underneath the -9i:\r\n" );
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document.write( "i | 4  -9i   5   8-4i\r\n" );
document.write( "  |     4i           \r\n" );
document.write( "    4\r\n" );
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document.write( "Add the -9i and the 4i getting -5i.  Write that below the line\r\n" );
document.write( "under the 4i\r\n" );
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document.write( "i | 4  -9i   5   8-4i\r\n" );
document.write( "  |     4i           \r\n" );
document.write( "    4  -5i \r\n" );
document.write( "   \r\n" );
document.write( "Multiply the -5i by the i and get -5i², then\r\n" );
document.write( "replace i² by -1 and get -5(-1) or 5 and write\r\n" );
document.write( "5 above and to the right of the -5i under the\r\n" );
document.write( "other 5:\r\n" );
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document.write( "i | 4  -9i   5   8-4i\r\n" );
document.write( "  |     4i   5          \r\n" );
document.write( "    4  -5i \r\n" );
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document.write( "Add the 5 and the 5 getting 10 and\r\n" );
document.write( "write that at the bottom under the\r\n" );
document.write( "5's\r\n" );
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document.write( "i | 4 -9i    5   8-4i\r\n" );
document.write( "  |    4i    5       \r\n" );
document.write( "    4 -5i   10\r\n" );
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document.write( "Multiply the 10 by the i getting 10i.\r\n" );
document.write( "Write that above and to the right of\r\n" );
document.write( "the 10 underneath the -4i\r\n" );
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document.write( "i | 4 -9i    5    8- 4i\r\n" );
document.write( "  |    4i    5      10i\r\n" );
document.write( "    4 -5i   10\r\n" );
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document.write( "Add the 8-4i and the 10i getting 8+6i.\r\n" );
document.write( "Write that at the bottom under the +10i\r\n" );
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document.write( "i | 4 -9i    5    8- 4i\r\n" );
document.write( "  |    4i    5      10i\r\n" );
document.write( "    4 -5i   10    8+ 6i\r\n" );
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document.write( "Use the first three terms on the bottom row \r\n" );
document.write( "as coefficients of a quadratic equation,\r\n" );
document.write( "then put the last number on the bottom over\r\n" );
document.write( "the original divisor x-i\r\n" );
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document.write( "4x² - 5ix + 10 + \"%288%2B6i%29%2F%28x-i%29\"\r\n" );
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document.write( "Edwin

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