document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177978>Question 1177978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an nth degree polynomial function with real coefficients satisfying the given conditions. <BR>\n" );
document.write( "n=4<BR>\n" );
document.write( "2i and 5i are zeros<BR>\n" );
document.write( "F(-1)=130\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 #807135 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=807135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=4 ALIGN=MIDDLE  ALT=\"n=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=2i ALIGN=MIDDLE  ALT=\"x%5B1%5D=2i\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> you also have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=-2i ALIGN=MIDDLE  ALT=\"x%5B2%5D=-2i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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;\" > => you also have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B4%5D=-5i ALIGN=MIDDLE  ALT=\"x%5B4%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=a%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29 ALIGN=MIDDLE  ALT=\"F%28x%29=a%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%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=a%28x-2i%29%28x%2B2i%29%28x-5i%29%28x%2B5i%29 ALIGN=MIDDLE  ALT=\"F%28x%29=a%28x-2i%29%28x%2B2i%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=a%28x%5E4+%2B+29+x%5E2+%2B+100%29 ALIGN=MIDDLE  ALT=\"F%28x%29=a%28x%5E4+%2B+29+x%5E2+%2B+100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%28-1%29=130 ALIGN=MIDDLE  ALT=\"F%28-1%29=130\"   DISABLED_style= \"max-width:90%; height:auto;\" >, use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%28x%29=130 ALIGN=MIDDLE  ALT=\"F%28x%29=130\"   DISABLED_style= \"max-width:90%; height:auto;\" > to calculate the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   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=130=a%28%28-1%29%5E4+%2B+29+%28-1%29%5E2+%2B+100%29 ALIGN=MIDDLE  ALT=\"130=a%28%28-1%29%5E4+%2B+29+%28-1%29%5E2+%2B+100%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=130=a%281+%2B+29+%2B+100%29 ALIGN=MIDDLE  ALT=\"130=a%281+%2B+29+%2B+100%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=130=a%28130%29 ALIGN=MIDDLE  ALT=\"130=a%28130%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and your equation is\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%5E4+%2B+29+x%5E2+%2B+100 ALIGN=MIDDLE  ALT=\"F%28x%29=x%5E4+%2B+29+x%5E2+%2B+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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