document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914543>Question 914543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Form a third-degree polynomial function with real coefficients such that 1+i and -5 are zeros? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555172 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=555172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bi ALIGN=MIDDLE  ALT=\"1%2Bi\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>complex root <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5 ALIGN=MIDDLE  ALT=\"-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > real root\r<BR>\n" );
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document.write( "Complex roots always come in complex conjugate pairs; so we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bi ALIGN=MIDDLE  ALT=\"1%2Bi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-i ALIGN=MIDDLE  ALT=\"1-i\"   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=f%28x%29=%28x-%281%2Bi%29%29%28x-%281-i%29%29%28x-%28-5%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-%281%2Bi%29%29%28x-%281-i%29%29%28x-%28-5%29%29\"   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=f%28x%29=+%28x-1-i%29%28x-1%2Bi%29+%28x%2B5%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+%28x-1-i%29%28x-1%2Bi%29+%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2-x%2Bcross%28x%2Ai%29-x%2B1-cross%28i%29-cross%28xi%29%2Bcross%28i%29-i%5E2%29%28x%2B5%29 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=f%28x%29=%28x%5E2-2x%2B1-%28-1%29%29%28x%2B5%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2-2x%2B1-%28-1%29%29%28x%2B5%29\"   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=f%28x%29=%28x%5E2-2x%2B1%2B1%29%28x%2B5%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2-2x%2B1%2B1%29%28x%2B5%29\"   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=f%28x%29=+%28x%5E2-2x%2B2%29%28x%2B5%29+ ALIGN=MIDDLE  ALT=\"f%28x%29=+%28x%5E2-2x%2B2%29%28x%2B5%29+\"   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=f%28x%29=x%5E3%2B5x%5E2+-2x%5E2-10x+%2B2x%2B10 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E3%2B5x%5E2+-2x%5E2-10x+%2B2x%2B10\"   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=f%28x%29=x%5E3%2B3x%5E2-8x%2B10 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E3%2B3x%5E2-8x%2B10\"   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=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+15%2C+x%5E3%2B3x%5E2-8x%2B10%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+15%2C+x%5E3%2B3x%5E2-8x%2B10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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