document.write( "Question 166626: Can someone help me with the question:\r
\n" ); document.write( "\n" ); document.write( "Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2.\r
\n" ); document.write( "\n" ); document.write( "Thank you. \n" ); document.write( "
Algebra.Com's Answer #122805 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2.
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\n" ); document.write( "Since the coefficients add to zero, x=1 is a root.
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\n" ); document.write( "Use synthetic division to find the other roots:
\n" ); document.write( "1)....3....-5,,,,4....-2
\n" ); document.write( "........3....-2...2...|..0\r
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\n" ); document.write( "Quotient: 3x^2-2x+2
\n" ); document.write( "Remainder: 0
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\n" ); document.write( "Find the zeroes of the Remainder, 3x^2 -2x + 2:
\n" ); document.write( "x = [2 +- sqrt(4 - 4*3*2)]/(2*3)
\n" ); document.write( "x = [2 +- sqrt(4 - 24)]/6
\n" ); document.write( "x = [2 +- sqrt(-20)]/6
\n" ); document.write( "These are not rational zeroes.
\n" ); document.write( "The only rational zero is x=1
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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