document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023123>Question 1023123</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with integer coefficients that satisfies the given conditions.<BR>\n" );
document.write( "R has degree 4 and zeros 2 &#8722; 3i and 1, with 1 a zero of multiplicity 2.<BR>\n" );
document.write( "R(x)= ____ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638675 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> R(x) could be \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%282-3i%29%29%28x+-+%282%2B3i%29%29%28x-1%29%5E2+=++%28%28x-2%29%5E2%2B9%29%28x-1%29%5E2+=+%28x%5E2-4x%2B13%29%28x-1%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(Just multiply the two polynomial factors together.  In general any polynomial <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%28x%5E2-4x%2B13%29%28x-1%29%5E2 ALIGN=MIDDLE  ALT=\"c%28x%5E2-4x%2B13%29%28x-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where c is any non-zero real number, will work.) </SPAN>\n" );
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