document.write( "Question 169236: Use long division to find the quotient and remainder when 2x^5+4x^4-x^3-x^2+7 is divided by 2x^2-1 \n" ); document.write( "
Algebra.Com's Answer #124777 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Use long division to find the quotient and remainder when \r\n" );
document.write( "\"2x%5E5%2B4x%5E4-x%5E3-x%5E2%2B7\" is divided by \"2x%5E2-1\"\r\n" );
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document.write( "We must fill in gaps in powers with terms with 0\r\n" );
document.write( "coefficients. I also will put in 1-coefficients:\r\n" );
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document.write( "Write:\r\n" );
document.write( "\"2x%5E5%2B4x%5E4-x%5E3-x%5E2%2B7\" as \"2x%5E5%2B4x%5E4-1x%5E3-1x%5E2%2B0x%2B7\"\r\n" );
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document.write( "and\r\n" );
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document.write( "\"2x%5E2-1\" as \"2x%5E2%2B0x-1\"\r\n" );
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document.write( "                         1x3 + 2x2 +  0x +  .5 \r\n" );
document.write( "            ---------------------------------- \r\n" );
document.write( "2x2 + 0x - 1)2x5 + 4x4 - 1x3 - 1x2 +  0x +   7\r\n" );
document.write( "             2x5 + 0x4 - 1x3\r\n" );
document.write( "             ---------------\r\n" );
document.write( "                   4x4 + 0x3 - 1x2\r\n" );
document.write( "                   4x4 + 0x3 - 2x2\r\n" );
document.write( "                   ---------------\r\n" );
document.write( "                         0x3 + 1x2 +  0x\r\n" );
document.write( "                         0x3 + 0x2 +  0x\r\n" );
document.write( "                         ---------------\r\n" );
document.write( "                               1x2 +  0x +   7\r\n" );
document.write( "                               1x2 +  0x -  .5\r\n" );
document.write( "                               ---------------\r\n" );
document.write( "                                           7.5\r\n" );
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document.write( "                            7.5\r\n" );
document.write( "Answer:  x3 + 2x2 + .5 + ----------\r\n" );
document.write( "                          2x² - 1\r\n" );
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document.write( "Edwin

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