document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=940564>Question 940564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a polynomial function with rational coefficients in standard form with the given zeros.      2-i, square root of 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #573212 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=573212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given zeros:      <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-i ALIGN=MIDDLE  ALT=\"2-i\"   DISABLED_style= \"max-width:90%; height:auto;\" >, if given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-i ALIGN=MIDDLE  ALT=\"2-i\"   DISABLED_style= \"max-width:90%; height:auto;\" > there must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Bi ALIGN=MIDDLE  ALT=\"2%2Bi\"   DISABLED_style= \"max-width:90%; height:auto;\" > too because complex roots always come in pairs\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "to find a polynomial function use zero product rule:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B2%5D%29=0 ALIGN=MIDDLE  ALT=\"%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B2%5D%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > plug in given zeros\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%282-i%29%29%28x-%282%2Bi%29%29%28x-sqrt%285%29%29=0 ALIGN=MIDDLE  ALT=\"%28x-%282-i%29%29%28x-%282%2Bi%29%29%28x-sqrt%285%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%2Bi%29%28x-2-i%29%28x-sqrt%285%29%29=0 ALIGN=MIDDLE  ALT=\"%28x-2%2Bi%29%28x-2-i%29%28x-sqrt%285%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-2x-xi-2x%2B4%2B2i%2Bxi-2i-i%5E2%29%28x-sqrt%285%29%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-2x-xi-2x%2B4%2B2i%2Bxi-2i-i%5E2%29%28x-sqrt%285%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4x-cross%28xi%29%2B4%2Bcross%282i%29%2Bcross%28xi%29-cross%282i%29-i%5E2%29%28x-sqrt%285%29%29=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4x%2B4-%28-1%29%29%28x-sqrt%285%29%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-4x%2B4-%28-1%29%29%28x-sqrt%285%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4x%2B4%2B1%29%28x-sqrt%285%29%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-4x%2B4%2B1%29%28x-sqrt%285%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4x%2B5%29%28x-sqrt%285%29%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-4x%2B5%29%28x-sqrt%285%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-4x%5E2-x%5E2%2Asqrt%285%29%2B4xsqrt%285%29%2B5x-5sqrt%285%29=0 ALIGN=MIDDLE  ALT=\"x%5E3-4x%5E2-x%5E2%2Asqrt%285%29%2B4xsqrt%285%29%2B5x-5sqrt%285%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-%284%2Bsqrt%285%29%29x%5E2%2B%284sqrt%285%29%2B5%29x-5sqrt%285%29=0 ALIGN=MIDDLE  ALT=\"x%5E3-%284%2Bsqrt%285%29%29x%5E2%2B%284sqrt%285%29%2B5%29x-5sqrt%285%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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