document.write( "Question 189571: I wish someone can solve this for me and show the steps so i could learn. THX.
\n" ); document.write( "(6x^2-13x+4)÷(2x-1) \n" ); document.write( "
Algebra.Com's Answer #142252 by Edwin McCravy(20060) $\"\"$ $\"About$
You can put this solution on YOUR website!
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document.write( "(6x²-13x+4)÷(2x-1)\r\n" );
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document.write( "Start with this:\r\n" );
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document.write( "    ----------\r\n" );
document.write( "2x-1)6x²-13x+4\r\n" );
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document.write( "Divide 2x into 6x², getting 3x.\r\n" );
document.write( "Write the 3x over the -13x\r\n" );
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document.write( "          3x\r\n" );
document.write( "    ----------\r\n" );
document.write( "2x-1)6x²-13x+4\r\n" );
document.write( "     \r\n" );
document.write( "Multiply the 3x by the 2x-1 getting \r\n" );
document.write( "6x²-3x, and write that underneath the 6x²-13x,\r\n" );
document.write( "and draw line underneath\r\n" );
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document.write( "          3x\r\n" );
document.write( "    ----------\r\n" );
document.write( "2x-1)6x²-13x+4\r\n" );
document.write( "     6x²- 3x\r\n" );
document.write( "     -------\r\n" );
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document.write( "Now subtract (-13x)-(-3x) = -13x+3x = -10x\r\n" );
document.write( "When we subtract the 6x² from the 6x², we\r\n" );
document.write( "just get 0 so we do not write anything under\r\n" );
document.write( "the 6x².  So we write -10x underneath the\r\n" );
document.write( "line.\r\n" );
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document.write( "\r\n" );
document.write( "          3x\r\n" );
document.write( "    ----------\r\n" );
document.write( "2x-1)6x²-13x+4\r\n" );
document.write( "     6x²- 3x\r\n" );
document.write( "     -------\r\n" );
document.write( "        -10x\r\n" );
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document.write( "Now we bring down the +4\r\n" );
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document.write( "          3x\r\n" );
document.write( "    ----------\r\n" );
document.write( "2x-1)6x²-13x+4\r\n" );
document.write( "     6x²- 3x\r\n" );
document.write( "     -------\r\n" );
document.write( "        -10x+4\r\n" );
document.write( "        \r\n" );
document.write( "Divide 2x into -10x, getting -5.\r\n" );
document.write( "Write the -5 over the +4\r\n" );
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document.write( "          3x-5\r\n" );
document.write( "    ----------\r\n" );
document.write( "2x-1)6x²-13x+4\r\n" );
document.write( "     6x²- 3x\r\n" );
document.write( "     -------\r\n" );
document.write( "        -10x+4\r\n" );
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document.write( "Multiply the -5 by the 2x-1 getting \r\n" );
document.write( "-10x+5, and write that underneath the -10x+4,\r\n" );
document.write( "and draw line underneath\r\n" );
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document.write( "\r\n" );
document.write( "          3x-5\r\n" );
document.write( "    ----------\r\n" );
document.write( "2x-1)6x²-13x+4\r\n" );
document.write( "     6x²- 3x\r\n" );
document.write( "     -------\r\n" );
document.write( "        -10x+4\r\n" );
document.write( "        -10x+5\r\n" );
document.write( "        ------\r\n" );
document.write( "            \r\n" );
document.write( "Now subtract (+4)-(+5) = 4-5 = -1. \r\n" );
document.write( "When we subtract the -10x from the -10x, we\r\n" );
document.write( "just get 0 so we do not write anything under\r\n" );
document.write( "the -10x.  So we write -1 underneath the\r\n" );
document.write( "line.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "          3x-5\r\n" );
document.write( "    ----------\r\n" );
document.write( "2x-1)6x²-13x+4\r\n" );
document.write( "     6x²- 3x\r\n" );
document.write( "     -------\r\n" );
document.write( "        -10x+4\r\n" );
document.write( "        -10x+5\r\n" );
document.write( "        ------\r\n" );
document.write( "            -1\r\n" );
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document.write( "Now we use the rule to write the answer:\r\n" );
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document.write( "or it is a little simpler written this way:\r\n" );
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document.write( "Edwin
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