document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231447>Question 231447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you write a polynomial expression with a leading coefficient of one and that has zeros of two(multiplicity of two) and imaginary number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171282 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171282\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As examples, the expression x^2 -4x+4 has zeros (muliplicity 2) at x=2.  The expression x^2 +4 has imaginary numbers for its zeros. \r<BR>\n" );
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document.write( "In general, the polynomial expression ax^2 +bx +c has multiply roots if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=0 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  It has imaginary roots if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+-4ac%3C0 ALIGN=MIDDLE  ALT=\"b%5E2+-4ac%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus\r<BR>\n" );
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