document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208454>Question 208454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the x-intercepts of the polynomial fuction.state weather the graph crosses the x-axis or touches the x-axis and turns around at each intercept. \r<BR>\n" );
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document.write( "x^5-30x^3+125x=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158489 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=158489\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^5 - 30x^3 + 125x = 0<BR>\n" );
document.write( "Factor out x<BR>\n" );
document.write( "x(x^4 - 30x^2 + 125) = 0<BR>\n" );
document.write( "Factor the quadratic<BR>\n" );
document.write( "x(x^2 - 5)(x^2 - 25) = 0<BR>\n" );
document.write( "three solutions<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = +/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = +/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +/-5<BR>\n" );
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document.write( "Each intercept crosses the x axis, as seen on the graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-8%2C+8%2C+-100%2C+100%2C+x%5E5-30x%5E3%2B125x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-8%2C+8%2C+-100%2C+100%2C+x%5E5-30x%5E3%2B125x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );