document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=367686>Question 367686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the rational root theorem and the factor theorem to help solve the following equation: x^3 + x^2 - 25x -25=0.  The answer I got was x= 5,-5,1...but I guessed...any help would be most appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262102 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=262102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the rational root theorem and the factor theorem to help solve the following equation: x^3 + x^2 - 25x -25=0. The answer I got was x= 5,-5,1...but I guessed...any help would be most appreciated.<BR>\n" );
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document.write( "It looks like x = -1 is a root.<BR>\n" );
document.write( "Use synthetic division to check:<BR>\n" );
document.write( "-1)....1,,,,1,,,,-25,,,,-25<BR>\n" );
document.write( "........1.....0....-25...|..0\r<BR>\n" );
document.write( "\n" );
document.write( "Solve x^2-25 = 0<BR>\n" );
document.write( "(x-5)(x+5) = 0<BR>\n" );
document.write( "x = 5 or x = -1<BR>\n" );
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document.write( "All solutions: x = -5,or -1, or 5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );