document.write( "Question 785667: 2x^3-4x+7x^2+7 divide by x^2+2x-1 \n" ); document.write( "
Algebra.Com's Answer #477841 by Edwin McCravy(20056) $\"\"$ $\"About$
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document.write( "2x³-4x+7x²+7 divide by x²+2x-1\r\n" );
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document.write( "Rearrange 2x³-4x+7x²+7 in descending powers 2x³+7x²-4x+7 \r\n" );
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document.write( "Start with:\r\n" );
document.write( "       _____________\r\n" );
document.write( "x²+2x-1)2x³+7x²-4x+7\r\n" );
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document.write( "Divide:  2x³÷x² =  = 2x\r\n" );
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document.write( "Write 2x above -4x\r\n" );
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document.write( "                2x   \r\n" );
document.write( "x²+2x-1)2x³+7x²-4x+7\r\n" );
document.write( "     \r\n" );
document.write( "Multiply 2x(x²+2x-1) = 2x³+4x²-2x and write\r\n" );
document.write( "it below 2x³+7x²-4x and draw a line underneath\r\n" );
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document.write( "                2x   \r\n" );
document.write( "x²+2x-1)2x³+7x²-4x+7\r\n" );
document.write( "        2x³+4x²-2x\r\n" );
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document.write( "Subtract (2x³+7x²-4x)-(2x³+4x²-2x) = 2x³+7x²-4x-2x³-4x²+2x = 3x²-2x\r\n" );
document.write( "Write that below the line and bring down the next (last) term +7: \r\n" );
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document.write( "                2x   \r\n" );
document.write( "x²+2x-1)2x³+7x²-4x+7\r\n" );
document.write( "        2x³+4x²-2x\r\n" );
document.write( "            3x²-2x+7\r\n" );
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document.write( "Divide:  3x²÷x² =  = 3\r\n" );
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document.write( "Write +3 above the 7:\r\n" );
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document.write( "                2x+3 \r\n" );
document.write( "x²+2x-1)2x³+7x²-4x+7\r\n" );
document.write( "        2x³+4x²-2x\r\n" );
document.write( "            3x²-2x+7\r\n" );
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document.write( "Multiply 3(x²+2x-1) = 3x²+6x-3 and write\r\n" );
document.write( "it below 2x³+7x²-4x and draw a line underneath\r\n" );
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document.write( "                2x+3 \r\n" );
document.write( "x²+2x-1)2x³+7x²-4x+7\r\n" );
document.write( "        2x³+4x²-2x\r\n" );
document.write( "            3x²-2x+7\r\n" );
document.write( "            3x²+6x-3\r\n" );
document.write( "              \r\n" );
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document.write( "Subtract (3x²-2x+7)-(3x²+6x-3) = 3x²-2x+7-3x²-6x+3 = -8x+10\r\n" );
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document.write( "Write that below the line\r\n" );
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document.write( "                2x+3 \r\n" );
document.write( "x²+2x-1)2x³+7x²-4x+7\r\n" );
document.write( "        2x³+4x²-2x\r\n" );
document.write( "            3x²-2x+7\r\n" );
document.write( "            3x²+6x-3\r\n" );
document.write( "               -8x+10\r\n" );
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document.write( "The answer is:  = 2x+3 + .\r\n" );
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document.write( "Edwin
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