document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762784>Question 762784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the nth degree polynomial function with real coefficients satisfying the given conditions.\r<BR>\n" );
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document.write( "n=3; -1 and -2 + 3i are zeros; leading coefficient is 1\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464204 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=464204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your THREE roots are -1, -2+3i, AND -2-3i.\r<BR>\n" );
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document.write( "Build your polynomial function using the polynomial factors according to the now known roots:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2B1%29%28x-%282-3i%29%29%28x-%282%2B3i%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B1%29%28x-%282-3i%29%29%28x-%282%2B3i%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let us do something more convenient with the complex polynom factors.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x-2%2B3i%29%28x-2-3i%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x-2%2B3i%29%28x-2-3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28%28x-2%29%2B3i%29%28%28x-2%29-3i%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28%28x-2%29%2B3i%29%28%28x-2%29-3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You should notice what makes the difference  of two squares.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28%28x-2%29%5E2+-+%283i%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28%28x-2%29%5E2+-+%283i%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x%5E2-4x%2B4%2B9%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x%5E2-4x%2B4%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2B1%29%28x%5E2-4x%2B13%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B1%29%28x%5E2-4x%2B13%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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