document.write( "Question 164926This question is from textbook blitzer College algebra
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Algebra.Com's Answer #121652 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "First write that numerator putting in zero placeholders:\r\n" );
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document.write( "\"%288x%5E6+%2B0x%5E5-+6x%5E4+%2B+0x%5E3+%2B+1x%5E2+%2B+0x+%2B+0%29%2F%28x-2%29\" \r\n" );
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document.write( "List only those coefficients in that order:\r\n" );
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document.write( "       8   0  -6   0   1   0   0\r\n" );
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document.write( "Draw a line on the left and underneath skipping\r\n" );
document.write( "a line:\r\n" );
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document.write( "       |8   0  -6   0   1   0   0\r\n" );
document.write( "       |\r\n" );
document.write( "        -------------------------\r\n" );
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document.write( "Change the sign of the second term of \"x-2\", which is \"-2\" to \"matrix%281%2C2%2C%22%2B%22%2C2%29\"\r\n" );
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document.write( "Write 2 left of the line:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |\r\n" );
document.write( "        -------------------------\r\n" );
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document.write( "Bring the 8 down below the bottom line:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |\r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8\r\n" );
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document.write( "Multiply the 8 by the 2, getting 16, so write\r\n" );
document.write( "16 diagonally above and to the right of the\r\n" );
document.write( "8 above the line and underneth the first 0 in \r\n" );
document.write( "top row:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16\r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  \r\n" );
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document.write( "Add the 0 and the 16, getting 16, and put 16 at \r\n" );
document.write( "the bottom to the right of the bottom 8 and \r\n" );
document.write( "underneath the line below \"matrix%283%2C1%2C0%2C16%2C%22---%22%29\" .\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16\r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  16\r\n" );
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document.write( "Multiply that 16 at the bottom time the 2 at the far\r\n" );
document.write( "let, getting 32.  Place that diagonally above and to \r\n" );
document.write( "the right of the 16, like this:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16  32\r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  16\r\n" );
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document.write( "Now add -6 and 32, getting 26, and place that under\r\n" );
document.write( "the 32, like this:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16  32\r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  16  26\r\n" );
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document.write( "--\r\n" );
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document.write( "Multiply that 26 at the bottom time the 2 at the far\r\n" );
document.write( "let, getting 52.  Place that diagonally above and to \r\n" );
document.write( "the right of the 26, like this:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16  32  52 \r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  16  26\r\n" );
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document.write( "Now add 0 and 52, getting 52, and place that under\r\n" );
document.write( "the 52, like this:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16  32  52 \r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  16  26  52\r\n" );
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document.write( "Multiply that 52 at the bottom time the 2 at the far\r\n" );
document.write( "let, getting 104.  Place that diagonally above and to \r\n" );
document.write( "the right of the 52, like this:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16  32  52 104  \r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  16  26  52\r\n" );
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document.write( "Now add 0 and 104, getting 105, and place that under\r\n" );
document.write( "the 104, like this:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16  32  52 104 \r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  16  26  52 105\r\n" );
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document.write( "Multiply that 105 at the bottom time the 2 at the far\r\n" );
document.write( "let, getting 210.  Place that diagonally above and to \r\n" );
document.write( "the right of the 52, like this:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16  32  52 104 210   \r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  16  26  52 105\r\n" );
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document.write( "Now add 0 and 210, getting 210, and place that under\r\n" );
document.write( "the 210, like this:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16  32  52 104 210 \r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  16  26  52 105 210 \r\n" );
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document.write( "Multiply that 210 at the bottom time the 2 at the far\r\n" );
document.write( "let, getting 420.  Place that diagonally above and to \r\n" );
document.write( "the right of the 210, like this:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16  32  52 104 210 420   \r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  16  26  52 105 210\r\n" );
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document.write( "Now add 0 and 420, getting 420, and place that under\r\n" );
document.write( "the 420, like this:\r\n" );
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document.write( "      2|8   0  -6   0   1   0   0\r\n" );
document.write( "       |   16  32  52 104 210 420 \r\n" );
document.write( "        -------------------------\r\n" );
document.write( "        8  16  26  52 105 210 420\r\n" );
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document.write( "Now we must interpret that line of numbers across the\r\n" );
document.write( "bottom.\r\n" );
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document.write( "The largest exponent in the original numerator,\r\n" );
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document.write( "\"8x%5E6+-+6x%5E4+%2B+1x%5E2\" is 6.  So we subtract 1 from\r\n" );
document.write( "6 and get 5. \r\n" );
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document.write( "Then the first number on the bottom row, 8, will be the \r\n" );
document.write( "coefficient of \"x%5E5\", and \"8x%5E5\" wil be the\r\n" );
document.write( "first term of the quotient.  \r\n" );
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document.write( "Then the second number on the bottom row, 16, will be the \r\n" );
document.write( "coefficient of \"x%5E4\"\r\n" );
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document.write( "Then the third number on the bottom row, 26, will be the \r\n" );
document.write( "coefficient of \"x%5E3\"\r\n" );
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document.write( "Then the fourth number on the bottom row, 52, will be the \r\n" );
document.write( "coefficient of \"x%5E2\"\r\n" );
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document.write( "Then the fifth number on the bottom row, 105, will be the \r\n" );
document.write( "coefficient of \"x%5E1\"\r\n" );
document.write( "  \r\n" );
document.write( "Then the sixth number on the bottom, 210, will be the \r\n" );
document.write( "constant term, the last term of the quotient.\r\n" );
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document.write( "Then the seventh number of the bottom row, 420, is the very \r\n" );
document.write( "last one.  So it is different.  It is the remainder that would \r\n" );
document.write( "have been gotten if we had done the problem by long division.\r\n" );
document.write( "It will be placed over the divisor \"x-2\" and added to\r\n" );
document.write( "the quotient.  So the answer is\r\n" );
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document.write( "\"8x%5E5%2B16x%5E4%2B26x%5E3%2B52x%5E2%2B105x%2B210%2B420%2F%28x-2%29\"\r\n" );
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document.write( "Edwin

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