document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158180>Question 1158180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an​ nth-degree polynomial function with real​ coefficient satisfying the given conditions<BR>\n" );
document.write( "n=3; 1 and -2+3i are zeros; a leading coefficient of​ 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781129 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=781129\">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=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=3rd ALIGN=MIDDLE  ALT=\"3rd\"   DISABLED_style= \"max-width:90%; height:auto;\" >-degree polynomial function\r<BR>\n" );
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document.write( "a leading coefficient of​ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use zero product theorem; so polynomial function 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=1%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29 ALIGN=MIDDLE  ALT=\"f%28x%29=1%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( "given zeros:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=+1+ ALIGN=MIDDLE  ALT=\"x%5B1%5D=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=-2%2B3i ALIGN=MIDDLE  ALT=\"x%5B2%5D=-2%2B3i\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> since complex zeros always come in pairs, you also have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D=-2-3i ALIGN=MIDDLE  ALT=\"x%5B3%5D=-2-3i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "substitute in\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=1%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29 ALIGN=MIDDLE  ALT=\"f%28x%29=1%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-1%29%28x-%28-2%2B3i%29%29%28x-%28-2-3i%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-1%29%28x-%28-2%2B3i%29%29%28x-%28-2-3i%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-1%29%28x%2B2-3i%29%28x%2B2%2B3i%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-1%29%28x%2B2-3i%29%28x%2B2%2B3i%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-1%29%28x%5E2%2B2x%2B3i%2Ax%2B2x%2B4%2B6i-3ix-6i-9i%5E2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-1%29%28x%5E2%2B2x%2B3i%2Ax%2B2x%2B4%2B6i-3ix-6i-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-1%29%28x%5E2%2B4x%2B4-9%28-1%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-1%29%28x%5E2%2B4x%2B4-9%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-1%29%28x%5E2%2B4x%2B4%2B9%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-1%29%28x%5E2%2B4x%2B4%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=%28x-1%29%28x%5E2%2B4x%2B13%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-1%29%28x%5E2%2B4x%2B13%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+%2B+3x%5E2+%2B+9x+-+13 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E3+%2B+3x%5E2+%2B+9x+-+13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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