document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164436>Question 164436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help Factor Completely. If the polynomial is prime, please state this.<BR>\n" );
document.write( "a^2-13a+40  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121134 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+13a+%2B+40 ALIGN=MIDDLE  ALT=\"a%5E2+-+13a+%2B+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can set the equation equal to zero<BR>\n" );
document.write( "and complete the square to find roots<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+13a+%2B+%28-13%2F2%29%5E2+=+-40+%2B+%28-13%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+-+13a+%2B+%28-13%2F2%29%5E2+=+-40+%2B+%28-13%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+13a+%2B+169%2F4+=+-160%2F4+%2B+169%2F4 ALIGN=MIDDLE  ALT=\"a%5E2+-+13a+%2B+169%2F4+=+-160%2F4+%2B+169%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+-+13%2F2%29%5E2+=+9%2F4 ALIGN=MIDDLE  ALT=\"%28a+-+13%2F2%29%5E2+=+9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+-+13%2F2+=+3%2F2 ALIGN=MIDDLE  ALT=\"a+-+13%2F2+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a+-+13+=+3 ALIGN=MIDDLE  ALT=\"2a+-+13+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a+=+16 ALIGN=MIDDLE  ALT=\"2a+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+8 ALIGN=MIDDLE  ALT=\"a+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+-+8+=+0 ALIGN=MIDDLE  ALT=\"a+-+8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, taking the negative square root<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+-+13%2F2+=+-%283%2F2%29 ALIGN=MIDDLE  ALT=\"a+-+13%2F2+=+-%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a+-+13+=+-3 ALIGN=MIDDLE  ALT=\"2a+-+13+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a+=+10 ALIGN=MIDDLE  ALT=\"2a+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+5 ALIGN=MIDDLE  ALT=\"a+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+-+5+=+0 ALIGN=MIDDLE  ALT=\"a+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+13a+%2B+40+=+%28a-8%29%28a-5%29 ALIGN=MIDDLE  ALT=\"a%5E2+-+13a+%2B+40+=+%28a-8%29%28a-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );