document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128379>Question 1128379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial equation with real coefficients that has the given roots <BR>\n" );
document.write( "5 and -3i\r<BR>\n" );
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document.write( "x^3- ___x^2+_____x=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744831 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Find a polynomial equation with real coefficients that has the given roots<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=5 ALIGN=MIDDLE  ALT=\"x%5B1%5D=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=-3i+ ALIGN=MIDDLE  ALT=\"x%5B2%5D=-3i+\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> complex roots coming in pairs, so we also have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D=3i+ ALIGN=MIDDLE  ALT=\"x%5B3%5D=3i+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29 ALIGN=MIDDLE  ALT=\"%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29=%28x-5%29%28x-%28-3i%29%29%28x-3i%29 ALIGN=MIDDLE  ALT=\"%28x%29=%28x-5%29%28x-%28-3i%29%29%28x-3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-5%29%28x%2B3i%29%28x-3i%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-5%29%28x%2B3i%29%28x-3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-5%29%28x%5E2-%283i%29%5E2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-5%29%28x%5E2-%283i%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-5%29%28x%5E2-9i%5E2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-5%29%28x%5E2-9i%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-5%29%28x%5E2-9%28-1%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-5%29%28x%5E2-9%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-5%29%28x%5E2%2B9%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-5%29%28x%5E2%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E3-5x%5E2%2B9x-45 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E3-5x%5E2%2B9x-45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-+5x%5E2%2B9x-45=0 ALIGN=MIDDLE  ALT=\"x%5E3-+5x%5E2%2B9x-45=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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