document.write( "Question 656143: list all the possible rational zeros of f(x)=2x^3-5x^2+3x-1 \n" ); document.write( "

Algebra.Com's Answer #409376 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "f(x) = 2x³ - 5x² + 3x - 1\r\n" );
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document.write( "If there are any rational zeros, then when it is reduced to lowest terms,\r\n" );
document.write( "its numerator must be a factor of the absolute value of the last term, and\r\n" );
document.write( "the denominator must be a factor of the absolute value of the leading coefficient.\r\n" );
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document.write( "Absolute value of last term = |-1| = 1 which has 1 as its only factor.\r\n" );
document.write( "Absolute value of leading coefficient = |2| = 1 which has factors 1 and 2.\r\n" );
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document.write( "Possible numerator for rational zeros in lowest terms:  ±1\r\n" );
document.write( "Possible denominators for rational zeros in lowest terms: ±1, ±2 \r\n" );
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document.write( "Possible rational zeros: ±1, \r\n" );
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document.write( "As it turns out, none of those are zeros.\r\n" );
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document.write( "Edwin

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