document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=632486>Question 632486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Form a polynomial f(x) with real coefficients having the given degree and zeros. Expand into<BR>\n" );
document.write( "standard form <BR>\n" );
document.write( " Degree 3: zeros: 1 + i and -8<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398324 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=398324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Form a polynomial f(x) with real coefficients having the given degree and zeros. Expand into<BR>\n" );
document.write( "standard form <BR>\n" );
document.write( " Degree 3: zeros: 1 + i and -8<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Complex zeroes occur in conjugate pairs, so a zero is 1 - i<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "(x - 1 - i)*(x - 1 + i) = x^2 - x + ix - x + 1 - i - ix + i + 1<BR>\n" );
document.write( "x^2 - 2x + 2<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "--> (x+8)*(x^2 - 2x + 2) = 0<BR>\n" );
document.write( "You can multiply that one.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );