document.write( "Question 1043852: Divide f(x)=3x^4+2x^3-x^2-x-6 by p(x)=x-1 \n" ); document.write( "

Algebra.Com's Answer #659029 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can use either polynomial division or synthetic division. Synthetic division will be faster. Here is the work as polynomial division:\r
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document.write( "            3x^3    5x^2     3x     2\r\n" );
document.write( "      ___________________________________________\r\n" );
document.write( "x-1   |     3x^4    2x^3    -x^2    -x    -6\r\n" );
document.write( "      |\r\n" );
document.write( "      |     3x^4   -3x^3\r\n" );
document.write( "      |_____________________\r\n" );
document.write( "             0      5x^3\r\n" );
document.write( "                    5x^3   -5x^2\r\n" );
document.write( "                  _______________\r\n" );
document.write( "                     0     3x^2\r\n" );
document.write( "                           3x^2   -3x\r\n" );
document.write( "                          ___________\r\n" );
document.write( "                           0      2x\r\n" );
document.write( "                                  2x    -2\r\n" );
document.write( "                                  _________\r\n" );
document.write( "                                   0    -4\r\n" );
document.write( "\r\n" );
document.write( "Notice remainder is .\r\n" );
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document.write( "

\n" ); document.write( "Quotient fully is $\"3x%5E3%2B5x%5E2%2B3x%2B2-4%2F%28x-1%29\"$ . \n" ); document.write( "

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