document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034313>Question 1034313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find a third-degree polynomial equation with rational coefficients that has roots -4 and 2+i. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648918 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=648918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me find a third-degree polynomial equation with rational coefficients that has roots -4 and 2+i. <BR>\n" );
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document.write( "Roots are -4, 2+i, 2-i<BR>\n" );
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document.write( "f(x) = (x+4)((x-2)-i)((x-2)+i)<BR>\n" );
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document.write( "f(x) = (x+4)((x-2)^2 +1)<BR>\n" );
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document.write( "f(x) = (x+4)(x^2 - 4x +5)<BR>\n" );
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document.write( "f(x) = x^3 -4x^2 + 4x^2 + 5x - 16x + 20<BR>\n" );
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document.write( "f(x) = x^2 - 11x + 20<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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