document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=633044>Question 633044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation f(x) = 0) : f(x) = x^3-4x^2+9x-10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398644 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=398644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation f(x) = 0) : f(x) = x^3-4x^2+9x-10<BR>\n" );
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document.write( "use rational roots theorem to solve:\r<BR>\n" );
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document.write( "....0....|.......1........-4..........9.........-10<BR>\n" );
document.write( "....1....|.......1........-3..........6.........-4<BR>\n" );
document.write( "....2....|.......1........-2..........5...........0 (2 is a root or zero)<BR>\n" );
document.write( "f(x)=(x-2)(x^2-2x+5)=0<BR>\n" );
document.write( "x-2=0<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2-2x+5=0<BR>\n" );
document.write( "a=1, b=-2, c=5<BR>\n" );
document.write( "discriminant=b^2-4ac=4-4*1*5<0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Function has one real root at x=2, and a pair of non-real or imaginary roots </SPAN>\n" );
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