document.write( "Question 16772: Can someone please help me in solving this problem.
\n" ); document.write( "Thanks.
\n" ); document.write( "Use long division to reduce (6x^5 - 5x^4 - 6x^3 - 10x^2 + 21x - 9)/(2x - 3).
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Algebra.Com's Answer #8199 by xcentaur(357)\"\" \"About 
You can put this solution on YOUR website!
(6x^5 - 5x^4 - 6x^3 - 10x^2 + 21x - 9)/(2x - 3)\r
\n" ); document.write( "\n" ); document.write( "Straight out let me tell you I have never liked long division. And looking at that,I suddenly remembered why. But anyhow, heres how it goes:
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document.write( "2x - 3 | 6x^5 - 5x^4 - 6x^3 - 10x^2 + 21x - 9 | 3x^4 + 2x^2 - 5x + 3\r\n" );
document.write( "       | 6x^5 - 9x^4\r\n" );
document.write( "               -     +\r\n" );
document.write( "        ---------------\r\n" );
document.write( "                       4x^4 - 6x^3\r\n" );
document.write( "                       4x^4 - 6x^3\r\n" );
document.write( "                      -     +\r\n" );
document.write( "                      ------------\r\n" );
document.write( "                                    -10x^2 + 21x\r\n" );
document.write( "                                    -10x^2 + 15x\r\n" );
document.write( "                                    +      -\r\n" );
document.write( "                                   ------------\r\n" );
document.write( "                                             6x - 9\r\n" );
document.write( "                                             6x - 9\r\n" );
document.write( "                                            -   +\r\n" );
document.write( "                                           ----------\r\n" );
document.write( "                                             [remainder = 0]\r\n" );
document.write( "\r\n" );
document.write( "
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\n" ); document.write( "As you can see,the quotient is (3x^4+2x^3-5x+3) and there is no remainder. Hope this helps.
\n" ); document.write( " - Prabhat \n" ); document.write( "

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