document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62290>Question 62290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> this is for college algebra: find a polynomial of lowest degree that has real coefficients, a leading coefficient of 1, and with 5-2i and 3 as two of its zeros </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43025 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=43025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find a polynomial of lowest degree that has real coefficients, a leading coefficient of 1, and with 5-2i and 3 as two of its zeroes.<BR>\n" );
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document.write( "If 5-2i is a zero and it has real coefficients then 5+2i is also<BR>\n" );
document.write( "a zero.<BR>\n" );
document.write( "So f(x)=(x-3)(x-(5-2i))(x-(5+2i))<BR>\n" );
document.write( "f(x)= (x-3)((x-5)^2+4)<BR>\n" );
document.write( "f(x)= (x-3)(x^2-10x+29)<BR>\n" );
document.write( "f(x)=x^3-10x^2-3x^2+29x-30x-12<BR>\n" );
document.write( "f(x)=x^3-13x^2-x-12<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
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