document.write( "Question 768470: how do i find all the real zeros of 2x^3+6x^2+5x+3? i found all the possible real zeros, but when i tried to solve for the real ones, i couldnt find any. the PRZ=1, -1, 3, -3, .5, -.5, 3/2, -3/2
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Algebra.Com's Answer #468297 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "As you see from the other tutor's graph, there are NO rational zeros.\r\n" );
document.write( "The zero he gave is IRRATIONAL,\r\n" );
document.write( "which means that the decimal x = -2.1654 is only an approximation\r\n" );
document.write( "because the decimal goes on forever with no particular pattern.\r\n" );
document.write( "It is x = -2.1653730430624... to 13 decimal places, but the decimals\r\n" );
document.write( "never stop or form any particular pattern.\r\n" );
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document.write( "\"PRZ\" means \"possible RATIONAL zeros\" not \"possible REAL zeros\".\r\n" );
document.write( "The \"R\" stands for \"RATIONAL\", not \"REAL\".\r\n" );
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document.write( "So the list 1, -1, 3, -3, 1/2, --1/2, 3/2, -3/2\r\n" );
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document.write( "is only the list of possible RATIONAL zeros.\r\n" );
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document.write( "Actually the word \"POSSIBLE\" is a misnomer.  Because it\r\n" );
document.write( "may be that there are NO rational zeros, as in your\r\n" );
document.write( "example.\r\n" );
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document.write( "So the list 1, -1, 3, -3, 1/2, --1/2, 3/2, -3/2\r\n" );
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document.write( "is only a list of MAYBES for rational zeros, as there\r\n" );
document.write( "may be NO rational zeros.\r\n" );
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document.write( "Now if there were any rational zeros, they will be included in\r\n" );
document.write( "that list.  But they are always only 'maybes'!\r\n" );
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document.write( "So PRZ should be MRZ  (Maybe's for RATIONAL zeros) J\r\n" );
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document.write( "Edwin
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