document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30776>Question 30776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Question Is:<BR>\n" );
document.write( "Find the third-degree polynomial with real coefficients and with zeros 1 and 3+i.\r<BR>\n" );
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document.write( "The possible answers are:<BR>\n" );
document.write( "(A)z^3-7z^2+16z-10\r<BR>\n" );
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document.write( "(B)z^3+7z^2+16z+10\r<BR>\n" );
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document.write( "(C)z^3-7z^2+4z-10\r<BR>\n" );
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document.write( "(D)z^3-5z^2+4z+10\r<BR>\n" );
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document.write( "Thanks for your help!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17737 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=17737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the third-degree polynomial with real coefficients and with zeros 1 and 3+i. <BR>\n" );
document.write( "COEFFICIENTS ARE REAL.SO COMPLEX ROUTES SHOULD BE IN CONJUGATES.SO IF 3+I IS A ROOT THEN 3-I IS ALSO A ROOT.SO THE 3 ROOTS ARE <BR>\n" );
document.write( "1,3+I AND 3-I..SO THE POLYNOMIAL IS K(X-1){X-(3+I)}{X-(3-I)}=0<BR>\n" );
document.write( "(X-1){(X-3)^2-I^2}=0<BR>\n" );
document.write( "(X-1)(X^2-6X+9+1)=0<BR>\n" );
document.write( "X^3-6X^2+10X-X^2+6X-10=0<BR>\n" );
document.write( "X^3-7X^2+16X-10=0..OR IF YOU ARE USING Z THEN <BR>\n" );
document.write( "Z^3-7Z^2+16Z-10=0<BR>\n" );
document.write( "A IS THE ANSWER\r<BR>\n" );
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