document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=630038>Question 630038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am looking to find an example of a polynomial that has real coefficients, degree of 5 as well as exactly two real zeros and 2 complex (non real) zeros. <BR>\n" );
document.write( "So far I have came up with x^5 + 5x - 7.<BR>\n" );
document.write( "Am I on the right track? What do I do next? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396645 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=396645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am looking to find an example of a polynomial that has real coefficients, degree of 5 as well as exactly two real zeros and 2 complex (non real) zeros. <BR>\n" );
document.write( "So far I have came up with x^5 + 5x - 7.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Those conditions cannot be met.<BR>\n" );
document.write( "Each of the complex zeros has a conjugate that is also a zero.<BR>\n" );
document.write( "That makes 4 complex zeros.<BR>\n" );
document.write( "Adding 2 Real zeros you have a total of 6 zeros.<BR>\n" );
document.write( "So the polynomial would be degree 6.<BR>\n" );
document.write( "============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );