document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61312>Question 61312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial fucntion of 5th degree given the following zeros.<BR>\n" );
document.write( "-4, -2i, &#8730;6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42181 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=42181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial fucntion of 5th degree given the following zeros.<BR>\n" );
document.write( "-4, -2i, &#8730;6<BR>\n" );
document.write( "ASSUMING THE POLYNOMIAL TO BE WITH REAL COEFFICIENTS,THE CONJUGATES OF COMPLEX AND IRRATIONAL NUMBERS WILL ALSO BE THE ROOTS. HENCE THE 5 ROOTS ARE <BR>\n" );
document.write( "-4,-2I,+2I,SQRT(6),-SQRT(6)...HENCE THE POLYNOMIAL IS <BR>\n" );
document.write( "P = (X+4)(X+2I)(X-2I)[X+SQRT(6)][X-SQRT(6)]=0<BR>\n" );
document.write( "P=(X+4)(X^2+4)(X^2-6)=0<BR>\n" );
document.write( "P=(X+4)(X^4-2X^2-24)=0<BR>\n" );
document.write( "P=X^5+4X^4-2X^3-8X^2-24X-96=0 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );