document.write( "Question 205164: Could someone please help me out with this problem; which are the possible rational roots of x^3-4x^2+2x+1=0? using the synthetic substitution, which of the possible rational roots is actually a root of the equation?
\n" ); document.write( "My brains dont seem to work right when it comes to roots =( \n" ); document.write( "
Algebra.Com's Answer #155506 by stanbon(75887)\"\" \"About 
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Could someone please help me out with this problem; which are the possible rational roots of x^3-4x^2+2x+1=0? using the synthetic substitution, which of the possible rational roots is actually a root of the equation?
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\n" ); document.write( "If p/q is a rational root of this polynomial, p is and factor of 1 and q
\n" ); document.write( "is a factor of 1.
\n" ); document.write( "So the only rational roots possible are x = 1 and x = -1.
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\n" ); document.write( "Checking:
\n" ); document.write( "If x = 1 you get 1-4+2+1 = 0
\n" ); document.write( "Since 1 is a zero of the polynomial is a root of the polynomial.
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\n" ); document.write( "If x = -1 you get -1-1-2+1 which is not zero
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\n" ); document.write( "The only rational root is x = 1
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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