document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919829>Question 919829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a polynomial function of least degree that has the given zeros \r<BR>\n" );
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document.write( "-5, 3+2i and also -1, 5, 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557988 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=557988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "given zeros:\r<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;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B2i ALIGN=MIDDLE  ALT=\"3%2B2i\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ...since we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B2i ALIGN=MIDDLE  ALT=\"3%2B2i\"   DISABLED_style= \"max-width:90%; height:auto;\" >, there must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-2i ALIGN=MIDDLE  ALT=\"3-2i\"   DISABLED_style= \"max-width:90%; height:auto;\" > too<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-2i ALIGN=MIDDLE  ALT=\"3-2i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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;\" >, <BR>\n" );
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;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "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%2B5%29%28x-%283%2B2i%29%29%28x%2B%283%2B2i%29%29%28x%2B1%29%28x-5%29%28x-2%29+ ALIGN=MIDDLE  ALT=\"%28x%2B5%29%28x-%283%2B2i%29%29%28x%2B%283%2B2i%29%29%28x%2B1%29%28x-5%29%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >... multiply all,first group them and multiply each group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B5%29%28x-5%29%29%28%28x-%283%2B2i%29%29%28x%2B%283%2B2i%29%29%29%28%28x%2B1%29%28x-2%29%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=%28x%5E2-5%5E2%29%28%28x-3-2i%29%29%28x%2B3%2B2i%29%29%28x%5E2-2x%2Bx-2%29+ ALIGN=MIDDLE  ALT=\"%28x%5E2-5%5E2%29%28%28x-3-2i%29%29%28x%2B3%2B2i%29%29%28x%5E2-2x%2Bx-2%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=%28x%5E2-25%29%28x%5E2%2Bcross%283x%29%2Bcross%282xi%29-cross%283x%29-9-6i-cross%282xi%29-6i-4i%5E2%29%28x%5E2-x-2%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=%28x%5E2-25%29%28x%5E2-x-2%29%28x%5E2-9-12i-4%28-1%29%29+ ALIGN=MIDDLE  ALT=\"%28x%5E2-25%29%28x%5E2-x-2%29%28x%5E2-9-12i-4%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=%28x%5E4-x%5E3-2x%5E2-25x%5E2%2B25x%2B50%29%28x%5E2-9-12i%2B4%29+ ALIGN=MIDDLE  ALT=\"%28x%5E4-x%5E3-2x%5E2-25x%5E2%2B25x%2B50%29%28x%5E2-9-12i%2B4%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=%28x%5E4-x%5E3-27x%5E2%2B25x%2B50%29%28x%5E2-12i-5%29+ ALIGN=MIDDLE  ALT=\"%28x%5E4-x%5E3-27x%5E2%2B25x%2B50%29%28x%5E2-12i-5%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=x%5E6-x%5E5-32x%5E4%2B30x%5E3%2B185x%5E2%2Bi%28-12x%5E4%2B12x%5E3%2B324x%5E2-300x-600%29-125x-250 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );