document.write( "Question 392657: Can you help me simplify (not \"solve\")\r
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Algebra.Com's Answer #278709 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Can you help me simplify (not \"solve\") \"%28x-3%29%2F%28x%5E3%2Bx%5E2-10x-6%29\"\r
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document.write( "The other tutor divided the wrong way.\r\n" );
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document.write( "x - 3 divided by x^3 + x^2 - 10x - 6\r\n" );
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document.write( "\"%28x-3%29%2F%28x%5E3%2Bx%5E2-10x-6%29\"\r\n" );
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document.write( "Write it as \"%28%28x-3%29%2F1%29%2F%28%28x%5E3%2Bx%5E2-10x-6%29%2F1%29\"\r\n" );
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document.write( "Multiply by \"%281%2F%28x-3%29%29%2F%281%2F%28x-3%29%29\"\r\n" );
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document.write( "\"1%2F%28%28x%5E3%2Bx%5E2-10x-6%29%2F%28x-3%29%29\"\r\n" );
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document.write( "The denominator is \"%28x%5E3%2Bx%5E2-10x-6%29%2F%28x-3%29%29\"\r\n" );
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document.write( "So we divide it out:\r\n" );
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document.write( "Either by long division or synthetic division:\r\n" );
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document.write( "            x² +  4x + 2          3|1  1  -10  -6\r\n" );
document.write( "x - 3)x³ +  x² - 10x - 6           |   3   12   6 \r\n" );
document.write( "      x³ - 3x²                      1  4    2   0 \r\n" );
document.write( "           4x² - 10x              x² + 4x² + 2  \r\n" );
document.write( "           4x² - 12x\r\n" );
document.write( "                  2x - 6\r\n" );
document.write( "                  2x - 6 \r\n" );
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document.write( "Therefore\r\n" );
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document.write( "\"1%2F%28%28x%5E3%2Bx%5E2-10x-6%29%2F%28x-3%29%29\"\r\n" );
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document.write( "becomes:\r\n" );
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document.write( "\"1%2F%28x%5E2%2B4x%2B2%29\"\r\n" );
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document.write( "Edwin
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