document.write( "Question 974193: Hello Tutor, I really need your help to answer this question please.\r
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Algebra.Com's Answer #596173 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Rule:\r\n" );
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document.write( "1. Make sure the polynomial is in descending order.  (This one is)\r\n" );
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document.write( "Write down all the integers, positive and negative which can be divided\r\n" );
document.write( "evenly in the LAST term or coefficient. \r\n" );
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document.write( "{This one has last term 8, and its factors are the positive and negative \r\n" );
document.write( "integers ±1, ±2, ±4, and ±8.\r\n" );
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document.write( "2. Write down all the positive integers which can be divided\r\n" );
document.write( "evenly in the coefficient of the first term.\r\n" );
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document.write( "(This one has first term x4 which has coefficient 1.  1 has only\r\n" );
document.write( "the factor 1),\r\n" );
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document.write( "3. Make all possible fractions using those from step 1 as numerators, and\r\n" );
document.write( "all those from step 2 as denominators:\r\n" );
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document.write( "All possible rational roots are:\r\n" );
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document.write( "\"%22%22+%2B-+1%2F1\",\"%22%22+%2B-+2%2F1\", \"%22%22+%2B-+4%2F1\", \"%22%22+%2B-+8%2F1\"\r\n" );
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document.write( "Since the denominators are all 1, the rational roots are\r\n" );
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document.write( "±1, ±2, ±4, and ±8.\r\n" );
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document.write( "When the first term has coefficient 1, as this one does, you need only go to\r\n" );
document.write( "step 2.\r\n" );
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document.write( "[However, as it turns out, this polynomial equation has NO rational roots.\r\n" );
document.write( "So in the strict sense of the word \"possible\", no rational roots are\r\n" );
document.write( "possible.  However algebra textbooks always use \"possible\" in the loose sense,\r\n" );
document.write( "of \"maybe and maybe not\".]\r\n" );
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document.write( "Edwin
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