document.write( "Question 131529: its me again please help me thank you for help
\n" ); document.write( "Use long division to divide $\"6x%5E3%2Bx%5E2-12x%2B5\"$ by $\"3x-4\"$ \n" ); document.write( "
Algebra.Com's Answer #96003 by Edwin McCravy(20056) $\"\"$ $\"About$
You can put this solution on YOUR website!
its me again please help me thank you for help
\n" ); document.write( "Use long division to divide $\"6x%5E3%2Bx%5E2-12x%2B5\"$ by $\"3x-4\"$
\n" ); document.write( "
\r\n" );
document.write( "Start with this:\r\n" );
document.write( "\r\n" );
document.write( "       ---------------------  \r\n" );
document.write( "3x - 4 ) 6x³ +  x² - 12x + 5\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "6x³ divided by 3x gives 2x², so write that above the\r\n" );
document.write( "top line, above the x² term:\r\n" );
document.write( "\r\n" );
document.write( "               2x² \r\n" );
document.write( "       ---------------------  \r\n" );
document.write( "3x - 4 ) 6x³ +  x² - 12x + 5\r\n" );
document.write( "         \r\n" );
document.write( "Now multiply 2x² by 3x - 4 getting 6x³ - 8x²\r\n" );
document.write( "and write this at the bottom and draw a line      \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "               2x² \r\n" );
document.write( "       ---------------------  \r\n" );
document.write( "3x - 4 ) 6x³ +  x² - 12x + 5\r\n" );
document.write( "         6x² - 8x²\r\n" );
document.write( "         ---------\r\n" );
document.write( "        \r\n" );
document.write( "Now subtract.  (6x³ + x²) - (6x³ - 8x²) getting 9x²\r\n" );
document.write( "Write this below the bottom line and bring down the\r\n" );
document.write( "next term, which is \" - 12x \"\r\n" );
document.write( "\r\n" );
document.write( "               2x² \r\n" );
document.write( "       ---------------------  \r\n" );
document.write( "3x - 4 ) 6x³ +  x² - 12x + 5\r\n" );
document.write( "         6x² - 8x²\r\n" );
document.write( "         ---------\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "\r\n" );
document.write( "Next, divide 9x² by 3x, getting 3x.  Write this above\r\n" );
document.write( "the top line to the right of the 2x² and above -12x \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 +  x² - 12x + 5\r\n" );
document.write( "         6x² - 8x²\r\n" );
document.write( "         ---------\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "               \r\n" );
document.write( "Now multiply 3x by 3x - 4 getting 9x² - 12x\r\n" );
document.write( "and write this 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 +  x² - 12x + 5\r\n" );
document.write( "         6x² - 8x²\r\n" );
document.write( "         ---------\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "               ---------\r\n" );
document.write( "\r\n" );
document.write( "Now subtract.  (9x² - 12x) - (9x² - 12x) getting 0.\r\n" );
document.write( "But if it hadn't been 0 it would have been a number\r\n" );
document.write( "times x, so write it as 0x below the bottom line and\r\n" );
document.write( "bring down the next term, which is \" + 5 \"\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 +  x² - 12x + 5\r\n" );
document.write( "         6x² - 8x²\r\n" );
document.write( "         ---------\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "               ---------\r\n" );
document.write( "                      0x + 5\r\n" );
document.write( "                   \r\n" );
document.write( "Next, divide 0x by 3x, getting 0.  Write this above\r\n" );
document.write( "the top line to the right of the 3x and above + 5 \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "               2x² +  3x + 0\r\n" );
document.write( "       ---------------------  \r\n" );
document.write( "3x - 4 ) 6x³ +  x² - 12x + 5\r\n" );
document.write( "         6x² - 8x²\r\n" );
document.write( "         ---------\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "               ---------\r\n" );
document.write( "                      0x + 5\r\n" );
document.write( "\r\n" );
document.write( "Now multiply 0 by 3x - 4 getting 0x - 0\r\n" );
document.write( "and write this at the bottom and draw a line\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "               2x² +  3x + 0\r\n" );
document.write( "       ---------------------  \r\n" );
document.write( "3x - 4 ) 6x³ +  x² - 12x + 5\r\n" );
document.write( "         6x² - 8x²\r\n" );
document.write( "         ---------\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "               ---------\r\n" );
document.write( "                      0x + 5\r\n" );
document.write( "                      0x - 0\r\n" );
document.write( "                      ------\r\n" );
document.write( "                           \r\n" );
document.write( "Finally subtract.  (0x + 5) - (0x - 0) getting 5\r\n" );
document.write( "Write this below the bottom line.  \r\n" );
document.write( "\r\n" );
document.write( "               2x² +  3x + 0\r\n" );
document.write( "       ---------------------  \r\n" );
document.write( "3x - 4 ) 6x³ +  x² - 12x + 5\r\n" );
document.write( "         6x² - 8x²\r\n" );
document.write( "         ---------\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "               9x² - 12x\r\n" );
document.write( "               ---------\r\n" );
document.write( "                      0x + 5\r\n" );
document.write( "                      0x - 0\r\n" );
document.write( "                      ------\r\n" );
document.write( "                           5\r\n" );
document.write( "\r\n" );
document.write( "There are no more terms to bring down \r\n" );
document.write( "so we are done except for interpreting\r\n" );
document.write( "the answer.\r\n" );
document.write( "\r\n" );
document.write( "The 3x - 4 is called the divisor, the\r\n" );
document.write( "2x² +  3x + 0 is called the quotient,\r\n" );
document.write( "and the 5 at the bottom is called the\r\n" );
document.write( "remainder.\r\n" );
document.write( "\r\n" );
document.write( "We interpret the answer by the formula\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Or getting rid of the 0,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );