document.write( "Question 73066: Perform the division: \r
\n" ); document.write( "\n" ); document.write( "x^6 + 4x^5 - 3x^2 + 5x divided by x^3 + x^2 - 4x + 3\r
\n" ); document.write( "\n" ); document.write( "I have no idea where to begin. Can someone please help!!!\r
\n" ); document.write( "\n" ); document.write( "Thank you \r
\n" ); document.write( "\n" ); document.write( "Christine
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Algebra.Com's Answer #52331 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Set up the expression in this form. You cannot use synthetic division in this case.\r
\n" ); document.write( "\n" ); document.write( "So we need a value that multiplies by x^3 to get x^6. This value is x^3
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\r\n" );
document.write( "             __x^3_________________________\r\n" );
document.write( "x^3+x^2-4x+3 | x^6 +  4x^5  + 0x^4 + 0x^3 - 3x^2 + 5x\r\n" );
document.write( "             -(x^6 +   x^5  - 4x^4 + 3x^3 )              Product of x^3(x^3+x^2-4x+3)\r\n" );
document.write( "            ----------------\r\n" );
document.write( "                      3x^5  + 4x^4 - 3x^3 - 3x^2 + 5x                \r\n" );
document.write( "\r\n" );
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\n" ); document.write( "Repeat for the 2nd part of the quotient. We need a value that multiplies by x^3 to get 3x^5, which is 3x^2\r
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\r\n" );
document.write( "             __x^3_+__3x^2_____________________\r\n" );
document.write( "x^3+x^2-4x+3 | x^6 +  4x^5 + 0x^4 + 0x^3 - 3x^2 + 5x\r\n" );
document.write( "             -(x^6 +   x^5 - 4x^4 + 3x^3 )\r\n" );
document.write( "            ----------------\r\n" );
document.write( "                      3x^5  + 4x^4 - 3x^3  - 3x^2\r\n" );
document.write( "                    -(3x^5  + 3x^4 - 12x^3 + 9x^2) Product of 3x^2(x^3+x^2-4x+3)\r\n" );
document.write( "                   ------------------------------ \r\n" );
document.write( "                              x^4 +  9x^3  -12x^2 +5x\r\n" );
document.write( "\r\n" );
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\n" ); document.write( "Repeat these steps until you get down to a irreducible remainder. Then add the remainder over the quotient to get your answer.\r
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\r\n" );
document.write( "             __x^3_+__3x^2_+__x___+__8__________________\r\n" );
document.write( "x^3+x^2-4x+3 | x^6 +  4x^5 + 0x^4 + 0x^3 - 3x^2 + 5x + 0x^0\r\n" );
document.write( "             -(x^6 +   x^5 - 4x^4 + 3x^3 )\r\n" );
document.write( "            ----------------\r\n" );
document.write( "                      3x^5  + 4x^4 - 3x^3  - 3x^2\r\n" );
document.write( "                    -(3x^5  + 3x^4 - 12x^3 + 9x^2)\r\n" );
document.write( "                   -----------------\r\n" );
document.write( "                              x^4 + 9x^3 - 12x^2 +5x\r\n" );
document.write( "                            -(x^4 +  x^3 -  4x^2 +3x)\r\n" );
document.write( "                            -------------------------\r\n" );
document.write( "                                    8x^3 -  8x^2 +2x  +0x^0\r\n" );
document.write( "                                  -(8x^3 +  8x^2 -32x +24 )\r\n" );
document.write( "                                  ----------------------------\r\n" );
document.write( "                                          -16x^2 + 32x - 24   \r\n" );
document.write( "\r\n" );
document.write( "

\n" ); document.write( "So your answer should be\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3%2B3x%5E2%2Bx%2B8%2B+%28-16x%5E2%2B32x%2B24%29%2F%28x%5E3+%2B+x%5E2+-+4x+%2B+3%29\"$ \n" ); document.write( "

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