document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1051320>Question 1051320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given zero to find the remaining zeros of the polynomial function. (Enter your answers as a comma-separated list.)<BR>\n" );
document.write( "P(x) = x^3 + 11x^2 + x + 11;     -i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666846 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=666846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Use the given zero to find the remaining zeros of the polynomial function. (Enter your answers as a comma-separated list.)<BR>\n" );
document.write( "P(x) = x3 + 11x2 + x + 11; &#8722;i <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Since the coefficients of P(x) are rational, +i is also a zero.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Therefore:: (x-i)(x+i) = x^2+1 is a factor of P(x)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Divide P(x) by x^2+1 to get: x + 11<BR>\n" );
document.write( "----<BR>\n" );
document.write( "So, P(x) = (x-i)(x+i)(x+11)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Zeroes are :: -11, -i, i<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" );