document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972920>Question 972920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> nth degree polynomial function w/real coefficients satisfying the given conditions\r<BR>\n" );
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document.write( "n=3<BR>\n" );
document.write( "-3 and 1+5i are 0<BR>\n" );
document.write( "f(2)=130<BR>\n" );
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 #595200 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -3 and 1+5i ARE ZEROS.<BR>\n" );
document.write( "This must also include 1-5i.  \r<BR>\n" );
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document.write( "Start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=k%28x%2B3%29%28x-%281%2B5i%29%29%28x-%281-5i%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=k%28x%2B3%29%28x-%281%2B5i%29%29%28x-%281-5i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and simplify into general form, but keep the unknown factor k, UNDISTRIBUTED.\r<BR>\n" );
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document.write( "Next step from the raw factored form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%28x%2B3%29%28%28x-1%29-5i%29%28%28x-1%29%2B5i%29 ALIGN=MIDDLE  ALT=\"k%28x%2B3%29%28%28x-1%29-5i%29%28%28x-1%29%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%28x%2B3%29%28%28x-1%29%5E2-%285i%29%5E2%29 ALIGN=MIDDLE  ALT=\"k%28x%2B3%29%28%28x-1%29%5E2-%285i%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Keep going... </SPAN>\n" );
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