document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167254>Question 1167254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value.\r<BR>\n" );
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document.write( "n=3<BR>\n" );
document.write( "-2 and 6+4i are zeros\r<BR>\n" );
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document.write( "f(-1)=65 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791862 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39629)</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=791862\">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=%28x%2B2%29%28x-%286%2B4i%29%29%28x-%286-4i%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x-%286%2B4i%29%29%28x-%286-4i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28%28x-6%29-4i%29%28%28x-6%29%2B4i%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28%28x-6%29-4i%29%28%28x-6%29%2B4i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28%28x-6%29%5E2-16%2A-1%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28%28x-6%29%5E2-16%2A-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x%5E2-12x%2B36%2B16%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x%5E2-12x%2B36%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2B2%29%28x%5E2-12x%2B52%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B2%29%28x%5E2-12x%2B52%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "for function f, need some factor k which is found when x=-1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%29=k%28-1%2B2%29%28%28-1%29%5E2-12%28-1%29%2B52%29=65 ALIGN=MIDDLE  ALT=\"f%28-1%29=k%28-1%2B2%29%28%28-1%29%5E2-12%28-1%29%2B52%29=65\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=1 ALIGN=MIDDLE  ALT=\"k=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ". </SPAN>\n" );
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