document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764515>Question 764515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the lowest-degree polynomial with integer coefficients and the roots 6, i, and –i?\r<BR>\n" );
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document.write( "A. x^3 + 6x^2 + x + 6<BR>\n" );
document.write( "B. x^3 + 6x^2 &#8722; x &#8722; 6<BR>\n" );
document.write( "C. x^3 &#8722; 6x^2 + x &#8722; 6<BR>\n" );
document.write( "D. x^3 &#8722; 6x^2 &#8722; x + 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465520 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=465520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the lowest-degree polynomial with integer coefficients<BR>\n" );
document.write( " and the roots 6, i, and –i?<BR>\n" );
document.write( "Two factors<BR>\n" );
document.write( "(x-6) = 0<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = +/-i<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "x^2 = -1<BR>\n" );
document.write( "x^2 + 1 = 0<BR>\n" );
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document.write( "FOIL (x-6)(x^2+1)<BR>\n" );
document.write( "x^3 + x - 6x^2 - 6<BR>\n" );
document.write( "in order<BR>\n" );
document.write( "x^3 - 6x^2 + x - 6  </SPAN>\n" );
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