document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62289>Question 62289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> this is for college algebra: verify that 3i is a zero of p(x) = x^3- 5x^2 + 9x - 45 and then proceed to use the conjugate pair theorem to find the remaining zeros </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43026 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=43026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> verify that 3i is a zero of p(x) = x^3- 5x^2 + 9x - 45 <BR>\n" );
document.write( "I'll let you do the hard part.<BR>\n" );
document.write( "Find p(3i)<BR>\n" );
document.write( "If you get an answer of zero, 3i is a zero.<BR>\n" );
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document.write( "and then proceed to use the conjugate pair theorem to find the remaining zeros<BR>\n" );
document.write( "Assuming you did get a zero for p(3i), -3i is also a zero.<BR>\n" );
document.write( "So the cubic is divisible by (x-3i)(x+3i)=x^2+9<BR>\n" );
document.write( "Divide p(x) by x^2+9 to find the remaining factor<BR>\n" );
document.write( "which is x-5.<BR>\n" );
document.write( "So the remaining zero is x=5.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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