document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068173>Question 1068173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial equation with real coefficients that has the given roots.<BR>\n" );
document.write( "44 and - 5i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #683352 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52790)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=683352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "p(x) = (x-44)*(x-5i)*(x+5i) = (x-44)*(X+25).\r<BR>\n" );
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document.write( "For a polynomial with real coefficients, the complex roots goes in pairs:\r<BR>\n" );
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document.write( "a + bi and a - bi,  the complex number and it conjugate.\r<BR>\n" );
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document.write( "Therefore, your polynomial has the complex roots 5i and -5i.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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