document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128103>Question 1128103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an&#8203; nth-degree polynomial function with real coefficients satisfying the given conditions.\r<BR>\n" );
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document.write( "n=3<BR>\n" );
document.write( "3 and 5i are zeros<BR>\n" );
document.write( "f(-1)=104\r<BR>\n" );
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document.write( "f(x)=??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744567 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=744567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=3 ALIGN=MIDDLE  ALT=\"n=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >rd degree<BR>\n" );
document.write( "zeros:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=3 ALIGN=MIDDLE  ALT=\"x%5B1%5D=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=+5i ALIGN=MIDDLE  ALT=\"x%5B2%5D=+5i\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> complex zeros always come in pairs, so you also have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D=+-5i ALIGN=MIDDLE  ALT=\"x%5B3%5D=+-5i\"   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-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29 ALIGN=MIDDLE  ALT=\"f%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=f%28x%29=%28x-3%29%28x-5i%29%28x%2B5i%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-3%29%28x-5i%29%28x%2B5i%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-3%29%28x%5E2-%285i%29%5E2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-3%29%28x%5E2-%285i%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-3%29%28x%5E2-25i%5E2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-3%29%28x%5E2-25i%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-3%29%28x%5E2-25%28-1%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-3%29%28x%5E2-25%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-3%29%28x%5E2%2B25%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-3%29%28x%5E2%2B25%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%2B25x-3x%5E2-75 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E3%2B25x-3x%5E2-75\"   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%5E3-3x%5E2%2B25x-75 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E3-3x%5E2%2B25x-75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%29=104 ALIGN=MIDDLE  ALT=\"f%28-1%29=104\"   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%28-1%29=%28-1%29%5E3-3%2A%28-1%29%5E2%2B25%28-1%29-75 ALIGN=MIDDLE  ALT=\"f%28-1%29=%28-1%29%5E3-3%2A%28-1%29%5E2%2B25%28-1%29-75\"   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%28-1%29=-1-3-25-75 ALIGN=MIDDLE  ALT=\"f%28-1%29=-1-3-25-75\"   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%28-1%29=-104 ALIGN=MIDDLE  ALT=\"f%28-1%29=-104\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%29=104 ALIGN=MIDDLE  ALT=\"f%28-1%29=104\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not true\r<BR>\n" );
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document.write( " </SPAN>\n" );
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