document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001720>Question 1001720</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A degree 4 polynomial with integer coefficients has zeros &#8722;1, &#8722;3i and 1, with 1 a zero of multiplicity 2. If the coefficient of x^4 is 1, <BR>\n" );
document.write( " then the polynomial is <BR>\n" );
document.write( "This is what I did so far<BR>\n" );
document.write( "(x+1)(x-3i)(x-1)^2, but it is being marked as incorrect. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618809 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=618809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "4 polynomial with integer coefficients has zeros:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with 1 a zero of multiplicity 2,=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if you know that polynomial is degree <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > polynomial, you cannot have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; that will make your polynomial a polynomial of degree <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > because<BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3i ALIGN=MIDDLE  ALT=\"-3i\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a zero, don't forget that complex zeros always come in pairs; so, you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3i ALIGN=MIDDLE  ALT=\"3i\"   DISABLED_style= \"max-width:90%; height:auto;\" > too\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%2B1%29%5E2%28x-3i%29%28x%2B3i%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B1%29%5E2%28x-3i%29%28x%2B3i%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%2B1%29%5E2%28x%5E2-%283i%29%5E2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B1%29%5E2%28x%5E2-%283i%29%5E2%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%2B2x%2B1%29%28x%5E2-9%28i%29%5E2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2%2B2x%2B1%29%28x%5E2-9%28i%29%5E2%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%2B2x%2B1%29%28x%5E2-9%28-1%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2%2B2x%2B1%29%28x%5E2-9%28-1%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%5E2%2B2x%2B1%29%28x%5E2%2B9%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2%2B2x%2B1%29%28x%5E2%2B9%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%5E4%2B2x%5E3%2B1x%5E2%2B9x%5E2%2B18x%2B9 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E4%2B2x%5E3%2B1x%5E2%2B9x%5E2%2B18x%2B9\"   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%5E4%2B2x%5E3%2B10x%5E2%2B18x%2B9 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E4%2B2x%5E3%2B10x%5E2%2B18x%2B9\"   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+10%2C+x%5E4%2B2x%5E3%2B10x%5E2%2B18x%2B9%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E4%2B2x%5E3%2B10x%5E2%2B18x%2B9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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