document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085311>Question 1085311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> n=3 2 and 4i are zeros f(-1)=51 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699498 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if 4i is a root, -4i is also a root<BR>\n" );
document.write( "It is a fourth degree polynomial<BR>\n" );
document.write( "(x-3)(x-2)(x^2+16) is the polynomial or (x^2-5x+6)(x^2+16)<BR>\n" );
document.write( "That is x^4+16x^2-5x^3-80x+6x^2+96<BR>\n" );
document.write( "x^4-5x^3+22x^2-80x+96<BR>\n" );
document.write( "multiply the whole thing by a<BR>\n" );
document.write( "a(x^4-5x^3+22x^2-80x+96)=51 when x=-1<BR>\n" );
document.write( "a(1+5+22+80-96)=51<BR>\n" );
document.write( "a(12)=51<BR>\n" );
document.write( "a=4.25 or 17/4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-100%2C100%2C4.25%28x%5E4-5x%5E3%2B22x%5E2-80x%2B96%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-100%2C100%2C4.25%28x%5E4-5x%5E3%2B22x%5E2-80x%2B96%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );