document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923140>Question 923140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that x = 1 is the only rational root for the polynomial f(x) = x^3 - 5x^2 +5x - 1. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559889 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=559889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Test 1 as a possible root of f(x) using synthetic division.  Remainder 0 means root; otherwise, not root.  Using Rational Roots Theorem, 1 is the ONLY possible root.\r<BR>\n" );
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document.write( "________1____|_____1_____  -5_______  5________  -1<BR>\n" );
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document.write( "_____________|____________1________-4__________1<BR>\n" );
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document.write( "__________________1______-4_________1_________0\r<BR>\n" );
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document.write( "1 is a root of f(x), and it is the only rational root. </SPAN>\n" );
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