document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=843637>Question 843637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q:Find a polynomial function of the lowest degree with rational coefficients that has the given numbers as some of its zero\r<BR>\n" );
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document.write( "radical 3,5i\r<BR>\n" );
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document.write( "there is a radical sign over the 3, and that is 5i not 51\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508278 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=508278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Complex root always come on conjugate pairs.<BR>\n" );
document.write( "To have rational coefficients, you need another root with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%283%29 ALIGN=MIDDLE  ALT=\"-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to cancel out the outer and inner terms in the FOIL method.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-sqrt%283%29%29%28x%2Bsqrt%283%29%29%28x-5i%29%28x%2B5i%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-sqrt%283%29%29%28x%2Bsqrt%283%29%29%28x-5i%29%28x%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2-3%29%28x%5E2%2B25%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2-3%29%28x%5E2%2B25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E4%2B25x%5E2-3x%5E2-75 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E4%2B25x%5E2-3x%5E2-75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E4%2B22x%5E2-75 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E4%2B22x%5E2-75\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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