document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395661>Question 395661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help! I am having difficulty with this problem:\r<BR>\n" );
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document.write( "Find an nth degree polynomial function with real coefficients satifying the given conditions:\r<BR>\n" );
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document.write( "n=3; 4 and 2i are zeros; f(-1)=-50\r<BR>\n" );
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document.write( "Thank you so much for any help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280775 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=280775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an nth degree polynomial function with real coefficients satifying the given conditions:\r<BR>\n" );
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document.write( "n=3; 4 and 2i are zeros;<BR>\n" );
document.write( "Complex solutions occur in conjugate pairs, so -2i is also a zero.\r<BR>\n" );
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document.write( "f(n) = (n-3)(n-4)(n-2i)(n+2i)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28n%29+=+%28n%5E2-7n%2B12%29%2A%28n%5E2+%2B+4%29 ALIGN=MIDDLE  ALT=\"f%28n%29+=+%28n%5E2-7n%2B12%29%2A%28n%5E2+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply those, that's the function.<BR>\n" );
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document.write( "f(-1) = 100<BR>\n" );
document.write( "Multiply by -1/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28n%29+=+%28-1%2F2%29%2A%28n%5E2-7n%2B12%29%2A%28n%5E2+%2B+4%29 ALIGN=MIDDLE  ALT=\"f%28n%29+=+%28-1%2F2%29%2A%28n%5E2-7n%2B12%29%2A%28n%5E2+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(-1)=-50<BR>\n" );
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