document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042620>Question 1042620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the zeros and give the multiplicity of each zero. State whether the graph crosses the x-axis, or touches the x-axis nd turns around, at each zero.<BR>\n" );
document.write( "f(x)= x^3-5x^2-25x+125 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657608 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52798)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "f(x)= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-5x%5E2-25x%2B125 ALIGN=MIDDLE  ALT=\"x%5E3-5x%5E2-25x%2B125\"   DISABLED_style= \"max-width:90%; height:auto;\" > = \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3+-+5x%5E2%29+-+25%28x-5%29 ALIGN=MIDDLE  ALT=\"%28x%5E3+-+5x%5E2%29+-+25%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%28x-5%29+-+25%28x-5%29 ALIGN=MIDDLE  ALT=\"x%5E2%28x-5%29+-+25%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-25%29%2A%28x-5%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-25%29%2A%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (x-5)*(x+5)*(x-5) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%5E2%2A%28x%2B5%29 ALIGN=MIDDLE  ALT=\"%28x-5%29%5E2%2A%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The roots are: 5 of multiplicity 2 and -5 of multiplicity 1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<TABLE >\n" );
document.write( " \r\n" );
document.write( "  <TR>\r\n" );
document.write( "  <TD > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+330%2C+330%2C+-10.5%2C+10.5%2C+-10.5%2C+150.5%2C%0D%0A++++++++++x%5E3-5x%5E2-25x%2B125%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<B>Figure</B>. Plot f(t) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-5x%5E2-25x%2B125 ALIGN=MIDDLE  ALT=\"x%5E3-5x%5E2-25x%2B125\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "  </TD>\r\n" );
document.write( "  </TR>\r\n" );
document.write( "\n" );
document.write( "</TABLE><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );