document.write( "Question 427653: need to know how to do long division
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Algebra.Com's Answer #297432 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
(b³-27)/(b-3)=\r
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\r\n" );
document.write( "\r\n" );
document.write( " Write this:\r\n" );
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document.write( "                       \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      \r\n" );
document.write( "x³ divided by x give x²\r\n" );
document.write( "\r\n" );
document.write( "            x²         \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "     \r\n" );
document.write( "x² times -1 gives -x²\r\n" );
document.write( "\r\n" );
document.write( "            x²         \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "         -  x²\r\n" );
document.write( "\r\n" );
document.write( "x² times x gives x³\r\n" );
document.write( "\r\n" );
document.write( "            x²         \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "\r\n" );
document.write( "Draw a line:\r\n" );
document.write( "\r\n" );
document.write( "            x²         \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "     \r\n" );
document.write( "Subtract x³ - x³, that gives 0 so we don't write anything\r\n" );
document.write( "under that.  then 2x² minus -x² is really 2x²+x² or 3x²\r\n" );
document.write( "\r\n" );
document.write( "            x²         \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x²\r\n" );
document.write( "\r\n" );
document.write( "Bring down the + 3x\r\n" );
document.write( "\r\n" );
document.write( "            x²         \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3x² divided by x give 3x\r\n" );
document.write( "\r\n" );
document.write( "            x² + 3x    \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3x times -1 gives - 3x\r\n" );
document.write( "\r\n" );
document.write( "            x² + 3x    \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "               - 3x \r\n" );
document.write( "\r\n" );
document.write( "3x times x gives 3x²\r\n" );
document.write( "\r\n" );
document.write( "            x² + 3x    \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "           3x² - 3x \r\n" );
document.write( "\r\n" );
document.write( "Draw a line:\r\n" );
document.write( "\r\n" );
document.write( "            x² + 3x    \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "           3x² - 3x \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Subtract 3x² - 3x², that gives 0 so we don't write anything\r\n" );
document.write( "under that.  then 3x minus -3x is really 3x+3x or 6x\r\n" );
document.write( "\r\n" );
document.write( "            x² + 3x    \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "           3x² - 3x\r\n" );
document.write( "                 6x\r\n" );
document.write( "\r\n" );
document.write( "Bring down the - 6\r\n" );
document.write( "\r\n" );
document.write( "            x² + 3x    \r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "           3x² - 3x\r\n" );
document.write( "                 6x - 6\r\n" );
document.write( "\r\n" );
document.write( "6x divided by x give 6\r\n" );
document.write( "\r\n" );
document.write( "            x² + 3x + 6\r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "           3x² - 3x\r\n" );
document.write( "                 6x - 6\r\n" );
document.write( " \r\n" );
document.write( "6 times -1 gives - 6\r\n" );
document.write( "\r\n" );
document.write( "            x² + 3x + 6\r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "           3x² - 3x\r\n" );
document.write( "                 6x - 6\r\n" );
document.write( "                    - 6\r\n" );
document.write( "6 times x gives 6x\r\n" );
document.write( "\r\n" );
document.write( "            x² + 3x + 6\r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "           3x² - 3x\r\n" );
document.write( "                 6x - 6\r\n" );
document.write( "                 6x - 6\r\n" );
document.write( "\r\n" );
document.write( "Draw a line:\r\n" );
document.write( "\r\n" );
document.write( "            x² + 3x + 6\r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "           3x² - 3x\r\n" );
document.write( "                 6x - 6\r\n" );
document.write( "                 6x - 6\r\n" );
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document.write( "Subtract 6x - 6x, that gives 0 so we don't write anything\r\n" );
document.write( "under that.  then -6 minus -6 is really -6+6 or 0, so\r\n" );
document.write( "the remainder is 0:\r\n" );
document.write( "\r\n" );
document.write( "            x² + 3x + 6\r\n" );
document.write( "x - 1)x³ + 2x² + 3x - 6\r\n" );
document.write( "      x³ -  x²\r\n" );
document.write( "           3x² + 3x\r\n" );
document.write( "           3x² - 3x\r\n" );
document.write( "                 6x - 6\r\n" );
document.write( "                 6x - 6\r\n" );
document.write( "                      0 \r\n" );
document.write( "That's it.  The answer, or quotient, is x² + 3x + 6\r\n" );
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document.write( "Edwin
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