document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763270>Question 763270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this question... form a polynomial f(x)with real coefficients having the given degrees and zeros. <BR>\n" );
document.write( "Degree: 4    Zero's: -4+3i; -5 multiplicity 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464657 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the coefficients are real, the complex zeros must occur in conjugate pairs, and the multiplicity of a zero tells how many times it occurs, so...\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-%28-4%2B3i%29%29%28x-%28-4-3i%29%29%28x-%28-5%29%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-%28-4%2B3i%29%29%28x-%28-4-3i%29%29%28x-%28-5%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and after multiplying ( it's tedious but not hard) we get\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%2B18x%5E3%2B130x%5E2%2B450x%2B625 ALIGN=MIDDLE  ALT=\"f%28x%29+=+x%5E4%2B18x%5E3%2B130x%5E2%2B450x%2B625\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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