document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114960>Question 1114960</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I hope that someone can help me solve this problem: n=3; -5 and 4+3i are zeros; f(2)=273. Can you please help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729877 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=729877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "given: <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=-5 ALIGN=MIDDLE  ALT=\"-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B3i ALIGN=MIDDLE  ALT=\"4%2B3i\"   DISABLED_style= \"max-width:90%; height:auto;\" > are zeros; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=273 ALIGN=MIDDLE  ALT=\"f%282%29=273\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "if <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;\" >, we have a <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 function\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B3i ALIGN=MIDDLE  ALT=\"4%2B3i\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a root of f(x) and f(x) has real coefficients, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4-3i ALIGN=MIDDLE  ALT=\"+4-3i\"   DISABLED_style= \"max-width:90%; height:auto;\" > is also a root.  \r<BR>\n" );
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document.write( "use zero product theorem:\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-%28-5%29%29%28x-%284%2B3i%29%29%28x-%284-3i+%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+a%28x-%28-5%29%29%28x-%284%2B3i%29%29%28x-%284-3i+%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+=+a%28x%2B5%29%28x-4-3i%29%28x-4%2B3i+%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+a%28x%2B5%29%28x-4-3i%29%28x-4%2B3i+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....multiply all that and you  will get\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%5E3+-+3x%5E2+-+15x+%2B+125%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+a%28x%5E3+-+3x%5E2+-+15x+%2B+125%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=273 ALIGN=MIDDLE  ALT=\"f%282%29=273\"   DISABLED_style= \"max-width:90%; height:auto;\" >, use it to find <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=273+=+a%282%5E3+-+3%2A2%5E2+-+15%2A2+%2B+125%29 ALIGN=MIDDLE  ALT=\"273+=+a%282%5E3+-+3%2A2%5E2+-+15%2A2+%2B+125%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=273+=+91a ALIGN=MIDDLE  ALT=\"273+=+91a\"   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=a=273%2F91 ALIGN=MIDDLE  ALT=\"a=273%2F91\"   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=a=3 ALIGN=MIDDLE  ALT=\"a=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your 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+=+3%28x%5E3+-+3x%5E2+-+15x+%2B+125%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3%28x%5E3+-+3x%5E2+-+15x+%2B+125%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3x%5E3+-+9x%5E2+-+45x+%2B+375 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3x%5E3+-+9x%5E2+-+45x+%2B+375\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> your function\r<BR>\n" );
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document.write( " </SPAN>\n" );
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