document.write( "Question 977707: (2x^2-3x+8) / (x-2) \n" ); document.write( "
Algebra.Com's Answer #599239 by Edwin McCravy(20056) $\"\"$ $\"About$
You can put this solution on YOUR website!
(2x^2-3x+8) / (x-2)
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document.write( "Start with this:\r\n" );
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document.write( "   _________\r\n" );
document.write( "x-2)2x²-3x+8\r\n" );
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document.write( "x goes into 2x² 2x times because ,\r\n" );
document.write( "so put 2x above the line above -3x\r\n" );
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document.write( "        2x  \r\n" );
document.write( "x-2)2x²-3x+8\r\n" );
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document.write( "Multiply 2x by x-2 getting 2x²-4x and put it underneath\r\n" );
document.write( "2x²-3x and draw a line underneath it:\r\n" );
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document.write( "        2x  \r\n" );
document.write( "x-2)2x²-3x+8\r\n" );
document.write( "    2x²-4x\r\n" );
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document.write( "Now subtract (2x²-3x)-(2x²-4x) = 2x²-3x-2x²+4x = -3x+4x = x and\r\n" );
document.write( "write that under the line:\r\n" );
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document.write( "        2x  \r\n" );
document.write( "x-2)2x²-3x+8\r\n" );
document.write( "    2x²-4x\r\n" );
document.write( "         x\r\n" );
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document.write( "Now bring down the next term +8\r\n" );
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document.write( "        2x  \r\n" );
document.write( "x-2)2x²-3x+8\r\n" );
document.write( "    2x²-4x\r\n" );
document.write( "         x+8\r\n" );
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document.write( "x goes into x 1 time because ,\r\n" );
document.write( "so put +1 above the line above +8. [There MUST\r\n" );
document.write( "ALWAYS BE a sign placed between every two terms.]\r\n" );
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document.write( "        2x+1\r\n" );
document.write( "x-2)2x²-3x+8\r\n" );
document.write( "    2x²-4x\r\n" );
document.write( "         x+8\r\n" );
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document.write( "Multiply +1 by x-2 getting x-2, and write it underneath\r\n" );
document.write( "x+8 and draw a line underneath it:\r\n" );
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document.write( "        2x+1\r\n" );
document.write( "x-2)2x²-3x+8\r\n" );
document.write( "    2x²-4x\r\n" );
document.write( "         x+8\r\n" );
document.write( "         x-2\r\n" );
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document.write( "Finally subtract (x+8)-(x-2) = x+8-x+2 = 10, so write 10\r\n" );
document.write( "below the bottom line:\r\n" );
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document.write( "        2x+1\r\n" );
document.write( "x-2)2x²-3x+8\r\n" );
document.write( "    2x²-4x\r\n" );
document.write( "         x+8\r\n" );
document.write( "         x-2\r\n" );
document.write( "          10\r\n" );
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document.write( "We place the remainder 10 over the divisor x-2 and add that fraction\r\n" );
document.write( "to the quotient.\r\n" );
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document.write( "The answer is \r\n" );
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document.write( "Edwin
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