document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068275>Question 1068275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an&#8203; nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing&#8203; 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=4<BR>\n" );
document.write( "-1,4 and 3+4i are zeros<BR>\n" );
document.write( "f(1)=-240<BR>\n" );
document.write( "solve 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 #683500 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=683500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Polynomials with real coefficients with complex roots must have complex conjugate roots so,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=a%28x%2B1%29%28x-4%29%28x-%283%2B4i%29%29%28x-%283-4i%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x%2B1%29%28x-4%29%28x-%283%2B4i%29%29%28x-%283-4i%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=f%28x%29=a%28x%2B1%29%28x-4%29%28x%5E2-6x%2B25%29 ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x%2B1%29%28x-4%29%28x%5E2-6x%2B25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29=a%281%2B1%29%281-4%29%281-6%2B25%29=-240 ALIGN=MIDDLE  ALT=\"f%281%29=a%281%2B1%29%281-4%29%281-6%2B25%29=-240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-120a=-240 ALIGN=MIDDLE  ALT=\"-120a=-240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=2%28x%2B1%29%28x-4%29%28x%5E2-6x%2B25%29%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=2%28x%2B1%29%28x-4%29%28x%5E2-6x%2B25%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=gd10.JPG\">. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );