document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980228>Question 980228</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sum of the two zeros of a polynomial of degree 4 is -1 and their product is -2. If the other two zeros are root3 and -root3, find the polynomial. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601415 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=601415\">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=system%28p%2Bq=-1%2Cpq=-2%29 ALIGN=MIDDLE  ALT=\"system%28p%2Bq=-1%2Cpq=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=-2%2Fp ALIGN=MIDDLE  ALT=\"q=-2%2Fp\"   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=p-2%2Fp=-1 ALIGN=MIDDLE  ALT=\"p-2%2Fp=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-2=-p ALIGN=MIDDLE  ALT=\"p%5E2-2=-p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2%2Bp-2=0 ALIGN=MIDDLE  ALT=\"p%5E2%2Bp-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-1%29%28p%2B2%29=0 ALIGN=MIDDLE  ALT=\"%28p-1%29%28p%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If p=1, then q=-2.<BR>\n" );
document.write( "These must be the roots.\r<BR>\n" );
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document.write( "The polynomial would come in factored form as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x%2B2%29%28x-sqrt%283%29%29%28x%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x%2B2%29%28x-sqrt%283%29%29%28x%2Bsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You can simplify and put into general form. </SPAN>\n" );
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