document.write( "Question 716669: using long division solve
\n" ); document.write( "(6x^3 + 17x^2 + 27x + 20)/(3x + 4) \n" ); document.write( "
Algebra.Com's Answer #439939 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\"%286x%5E3+%2B+17x%5E2+%2B+27x+%2B+20%29%2F%283x+%2B+4%29\"
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document.write( "Start with this:\r\n" );
document.write( "              \r\n" );
document.write( "       ---------------------- \r\n" );
document.write( "3x + 4 )6x³ + 17x² + 27x + 20\r\n" );
document.write( "        \r\n" );
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document.write( "3x divides into 6x³ to give 2x²\r\n" );
document.write( "Put that at the top, above the 17x²  \r\n" );
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document.write( "               2x²       \r\n" );
document.write( "       ---------------------- \r\n" );
document.write( "3x + 4 )6x³ + 17x² + 27x + 20\r\n" );
document.write( "      \r\n" );
document.write( "Multiply the 2x² by the 3x + 4 to get 6x³ + 8x²,\r\n" );
document.write( "so write that at the bottom and draw a line:\r\n" );
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document.write( "               2x² \r\n" );
document.write( "       ---------------------- \r\n" );
document.write( "3x + 4 )6x³ + 17x² + 27x + 20\r\n" );
document.write( "        6x³ +  8x²\r\n" );
document.write( "        ----------\r\n" );
document.write( "           \r\n" );
document.write( "Now subtract, by mentally changing the signs on\r\n" );
document.write( "the bottom row.  We get 9x², so we write that\r\n" );
document.write( "at the bottom, and bring down the next term 27x:\r\n" );
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document.write( "                       \r\n" );
document.write( "               2x² \r\n" );
document.write( "       ---------------------- \r\n" );
document.write( "3x + 4 )6x³ + 17x² + 27x + 20\r\n" );
document.write( "        6x³ +  8x²\r\n" );
document.write( "        ----------\r\n" );
document.write( "               9x² + 27x\r\n" );
document.write( "              \r\n" );
document.write( "3x divides into 9x² to give 3x\r\n" );
document.write( "Put that at the top above the 27x \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "               2x² +  3x \r\n" );
document.write( "       ---------------------- \r\n" );
document.write( "3x + 4 )6x³ + 17x² + 27x + 20\r\n" );
document.write( "        6x³ +  8x²\r\n" );
document.write( "        ----------\r\n" );
document.write( "               9x² + 27x\r\n" );
document.write( "                 \r\n" );
document.write( "Multiply the 3x by the 3x + 4 to get 9x² + 12x,\r\n" );
document.write( "so write that at the bottom and draw a line:\r\n" );
document.write( "\r\n" );
document.write( "               2x² +  3x \r\n" );
document.write( "       ---------------------- \r\n" );
document.write( "3x + 4 )6x³ + 17x² + 27x + 20\r\n" );
document.write( "        6x³ +  8x²\r\n" );
document.write( "        ----------\r\n" );
document.write( "               9x² + 27x\r\n" );
document.write( "               9x² + 12x\r\n" );
document.write( "              ----------\r\n" );
document.write( "\r\n" );
document.write( "Now subtract, by mentally changing the signs on\r\n" );
document.write( "the bottom row.  We get 15x, so we write that\r\n" );
document.write( "at the bottom, and bring down the next term +20:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "               2x² +  3x \r\n" );
document.write( "       ---------------------- \r\n" );
document.write( "3x + 4 )6x³ + 17x² + 27x + 20\r\n" );
document.write( "        6x³ +  8x²\r\n" );
document.write( "        ----------\r\n" );
document.write( "               9x² + 27x\r\n" );
document.write( "               9x² + 12x\r\n" );
document.write( "              ----------\r\n" );
document.write( "                     15x + 20\r\n" );
document.write( "       \r\n" );
document.write( "3x divides into 15x to give 5\r\n" );
document.write( "Put that at the top above the +20 \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "               2x² +  3x +  5\r\n" );
document.write( "       ---------------------- \r\n" );
document.write( "3x + 4 )6x³ + 17x² + 27x + 20\r\n" );
document.write( "        6x³ +  8x²\r\n" );
document.write( "        ----------\r\n" );
document.write( "               9x² + 27x\r\n" );
document.write( "               9x² + 12x\r\n" );
document.write( "              ----------\r\n" );
document.write( "                     15x + 20\r\n" );
document.write( "                    \r\n" );
document.write( "Multiply the 5 by the 3x + 4 to get 15x + 20,\r\n" );
document.write( "so write that at the bottom and draw a line:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "               2x² +  3x +  5\r\n" );
document.write( "       ---------------------- \r\n" );
document.write( "3x + 4 )6x³ + 17x² + 27x + 20\r\n" );
document.write( "        6x³ +  8x²\r\n" );
document.write( "        ----------\r\n" );
document.write( "               9x² + 27x\r\n" );
document.write( "               9x² + 12x\r\n" );
document.write( "              ----------\r\n" );
document.write( "                     15x + 20\r\n" );
document.write( "                     15x + 20\r\n" );
document.write( "                     --------\r\n" );
document.write( "                         \r\n" );
document.write( "Now subtract, by mentally changing the signs on\r\n" );
document.write( "the bottom row.  We get 0, so we write that\r\n" );
document.write( "at the bottom, and we're finished because there\r\n" );
document.write( "are no more terms to bring down:\r\n" );
document.write( "\r\n" );
document.write( "               2x² +  3x +  5\r\n" );
document.write( "       ---------------------- \r\n" );
document.write( "3x + 4 )6x³ + 17x² + 27x + 20\r\n" );
document.write( "        6x³ +  8x²\r\n" );
document.write( "        ----------\r\n" );
document.write( "               9x² + 27x\r\n" );
document.write( "               9x² + 12x\r\n" );
document.write( "              ----------\r\n" );
document.write( "                     15x + 20\r\n" );
document.write( "                     15x + 20\r\n" );
document.write( "                     --------\r\n" );
document.write( "                            0\r\n" );
document.write( "Edwin

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