document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812680>Question 812680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions. <BR>\n" );
document.write( "S has degree 2, and zeros 4+i and 4-i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489248 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=489248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions. <BR>\n" );
document.write( "S has degree 2, and zeros 4+i and 4-i<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "S(x) = (x-(4+i))(x-(4-i))<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Rearrange::<BR>\n" );
document.write( "S(x) = ((x-4)-i)((x-4)+i)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Multiply t get:<BR>\n" );
document.write( "S(x) = (x-4)^2-i^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "S(x) = x^2-16x+16+1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "S(x) = x^2-16x+17<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );