document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335219>Question 335219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 1 is a root of the equation x^3-5x^2+17x-13=0, find the other two roots.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #240258 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=240258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a root then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1 ALIGN=MIDDLE  ALT=\"x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a factor.<BR>\n" );
document.write( "Use polynomial long division to find the remaining quadratic.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-5x%5E2%2B17x-13%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%28x%5E3-5x%5E2%2B17x-13%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First term:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%28x-1%29=x%5E3-x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%28x-1%29=x%5E3-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract this product from the original polynomial to get the remainder.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-5x%5E2%2B17x-13%29-%28x%5E3-x%5E2%29=-4x%5E2%2B17x-13 ALIGN=MIDDLE  ALT=\"%28x%5E3-5x%5E2%2B17x-13%29-%28x%5E3-x%5E2%29=-4x%5E2%2B17x-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Second term:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%28x-1%29=-4x%5E2%2B4x ALIGN=MIDDLE  ALT=\"-4x%28x-1%29=-4x%5E2%2B4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract this product from the remainder to get the new remainder.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4x%5E2%2B17x-13%29-%28-4x%5E2%2B4x%29=13x-13 ALIGN=MIDDLE  ALT=\"%28-4x%5E2%2B17x-13%29-%28-4x%5E2%2B4x%29=13x-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Final term:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%28x-1%29=13x-13 ALIGN=MIDDLE  ALT=\"13%28x-1%29=13x-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract this product from the remainder to get the final remainder.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813x-13%29-%2813x-13%29=0 ALIGN=MIDDLE  ALT=\"%2813x-13%29-%2813x-13%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Gather the terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-5x%5E2%2B17x-13%29%2F%28x-1%29=x%5E2-4x%2B13 ALIGN=MIDDLE  ALT=\"%28x%5E3-5x%5E2%2B17x-13%29%2F%28x-1%29=x%5E2-4x%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Complete the square to find the solution to the quadratic equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B13=x%5E2-4x%2B4%2B9=0 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B13=x%5E2-4x%2B4%2B9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2B9=0 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2B9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2=-9 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2=0+%2B-+sqrt%28-9%29 ALIGN=MIDDLE  ALT=\"x-2=0+%2B-+sqrt%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2+%2B-+3i ALIGN=MIDDLE  ALT=\"x=2+%2B-+3i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );