\r\n" );
document.write( "Tutor could you please help me with this long division? \r\n" );
document.write( "Using long division divide 7x^3 -3x^2 -4x+5 divided by 7x -1 \r\n" );
document.write( "Thank you for your help \r\n" );
document.write( "I started by doing this: 7x-1/7x^3x^2-4x+5/-7x/x^2\r\n" );
document.write( "\r\n" );
document.write( "No you begin with this\r\n" );
document.write( "\r\n" );
document.write( " ___________________ \r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( "\r\n" );
document.write( "Then you mentally divide the 7x into the 7x³ and get x²,\r\n" );
document.write( "so you write x² above the top line:\r\n" );
document.write( "\r\n" );
document.write( " x²\r\n" );
document.write( " ___________________ \r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( "\r\n" );
document.write( "Perhaps you are accustomed to writing the quotient out\r\n" );
document.write( "to the right, but it's the same procedure whether you\r\n" );
document.write( "write it ate the top or at the right.\r\n" );
document.write( "\r\n" );
document.write( "Now mentally multiply the x² by the -1 and get -x², so\r\n" );
document.write( "you write - x² under the - 3x²\r\n" );
document.write( "\r\n" );
document.write( " x²\r\n" );
document.write( " ___________________ \r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " - x²\r\n" );
document.write( "\r\n" );
document.write( "Now mentally multiply the x² by the 7x and get 7x³, so\r\n" );
document.write( "you write 7x³ under the 7x³:\r\n" );
document.write( "\r\n" );
document.write( " x² \r\n" );
document.write( " ___________________ \r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( "\r\n" );
document.write( "Now you draw a line at the bottom and subtract vertically.\r\n" );
document.write( "Be sure to mentally change the sign of the lower number\r\n" );
document.write( "and add. -3x²-(-x²) = -3x²+x² = -2x² so write that\r\n" );
document.write( "below the line. The 7x²-(7x³) = 0 so you do not write\r\n" );
document.write( "anything under the line below the 7x³'s:\r\n" );
document.write( "\r\n" );
document.write( " x²\r\n" );
document.write( " ___________________ \r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( " _________\r\n" );
document.write( " -2x²\r\n" );
document.write( "\r\n" );
document.write( "Now we bring down the - 4x\r\n" );
document.write( "\r\n" );
document.write( " x² \r\n" );
document.write( " ___________________\r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( " _________\r\n" );
document.write( " -2x² - 4x\r\n" );
document.write( "\r\n" );
document.write( "Now we divide the 7x into the -2x² and get the fraction\r\n" );
document.write( "-
x. (Are you sure you copied it right?)\r\n" );
document.write( "\r\n" );
document.write( "So we write 
x at the top to the right of the x².\r\n" );
document.write( "\r\n" );
document.write( " x² -x\r\n" );
document.write( " ___________________ \r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( " _________\r\n" );
document.write( " -2x² - 4x\r\n" );
document.write( "\r\n" );
document.write( "Now we multiply the -x by the -1 and get + x,\r\n" );
document.write( "so we write that underneath the - 4x:\r\n" );
document.write( "\r\n" );
document.write( " x² -x\r\n" );
document.write( " ___________________\r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( " _________\r\n" );
document.write( " -2x² - 4x\r\n" );
document.write( " + x\r\n" );
document.write( "\r\n" );
document.write( "Now we multiply the -x by the 7x and get -2x²,\r\n" );
document.write( "so we write that underneath the -2x²\r\n" );
document.write( "\r\n" );
document.write( " x² -x\r\n" );
document.write( " ___________________\r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( " _________\r\n" );
document.write( " -2x² - 4x\r\n" );
document.write( " -2x² + x\r\n" );
document.write( "\r\n" );
document.write( "Now we draw a line at the bottom and subtract:\r\n" );
document.write( "\r\n" );
document.write( "-4x - (+x = -4x - x = -
x. So\r\n" );
document.write( "we write that below the line:\r\n" );
document.write( "\r\n" );
document.write( " x² -x\r\n" );
document.write( " ___________________\r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( " _________\r\n" );
document.write( " -2x² - 4x\r\n" );
document.write( " -2x² + x\r\n" );
document.write( " _________\r\n" );
document.write( " -x \r\n" );
document.write( "\r\n" );
document.write( "The -2x-(-2x) = -2x+2x = 0 so we do not write\r\n" );
document.write( "anything under the line below the -2x²'s:\r\n" );
document.write( "\r\n" );
document.write( "Now we bring down the + 5\r\n" );
document.write( "\r\n" );
document.write( " x² -x \r\n" );
document.write( " ___________________ \r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( " _________\r\n" );
document.write( " -2x² - 4x\r\n" );
document.write( " -2x² + x\r\n" );
document.write( " _________\r\n" );
document.write( " -x + 5\r\n" );
document.write( " \r\n" );
document.write( "Next we divide the 7x into the -x and get -
,\r\n" );
document.write( "so we write that at the top:\r\n" );
document.write( "\r\n" );
document.write( " x² -x - \r\n" );
document.write( " ___________________ \r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( " -2x² - 4x\r\n" );
document.write( " -2x² + x\r\n" );
document.write( " _________\r\n" );
document.write( " -x + 5\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now we multiply the - by the - 1 and get + \r\n" );
document.write( "and write that under the 5:\r\n" );
document.write( "\r\n" );
document.write( " x² -x - \r\n" );
document.write( " ___________________ \r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( " _________\r\n" );
document.write( " -2x² - 4x\r\n" );
document.write( " -2x² + x\r\n" );
document.write( " _________\r\n" );
document.write( " -x + 5\r\n" );
document.write( " +\r\n" );
document.write( "\r\n" );
document.write( "Now we multiply the - by the 7x and get -x\r\n" );
document.write( "so write that to the left of the + \r\n" );
document.write( "\r\n" );
document.write( " x² -x - \r\n" );
document.write( " ___________________ \r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( " _________\r\n" );
document.write( " -2x² - 4x\r\n" );
document.write( " -2x² + x\r\n" );
document.write( " _________\r\n" );
document.write( " -x + 5\r\n" );
document.write( " -x +\r\n" );
document.write( "\r\n" );
document.write( "Now we draw a line at the bottom and subtract:\r\n" );
document.write( "\r\n" );
document.write( "5 - (+) = 5 - = 
\r\n" );
document.write( "\r\n" );
document.write( "And we write that at the bottom. Now we have finished\r\n" );
document.write( "the long division (whew!!!). \r\n" );
document.write( " \r\n" );
document.write( " x² -x - \r\n" );
document.write( " ____________________ \r\n" );
document.write( "7x - 1)7x³ - 3x² - 4x + 5\r\n" );
document.write( " 7x³ - x²\r\n" );
document.write( " _________\r\n" );
document.write( " -2x² - 4x\r\n" );
document.write( " -2x² + x\r\n" );
document.write( " _________\r\n" );
document.write( " -x + 5\r\n" );
document.write( " -x +\r\n" );
document.write( " __________\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So now we write the answer in the form\r\n" );
document.write( "\r\n" );
document.write( "
+ 
or\r\n" );
document.write( "\r\n" );
document.write( "x² -x - + 
\r\n" );
document.write( "\r\n" );
document.write( "We can simplify the last fraction by multiplying\r\n" );
document.write( "top and bottom by 49, so the final answer is:\r\n" );
document.write( "\r\n" );
document.write( "x² -x - + 
\r\n" );
document.write( "\r\n" );
document.write( "Your teacher was MEAN to give you that problem!\r\n" );
document.write( "\r\n" );
document.write( "J\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" );
document.write( "![\"\"](\"/images/stars/stars-13.gif\")
