document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=709451>Question 709451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the polynomial equation by using the zero product principle.\r<BR>\n" );
document.write( "\n" );
document.write( "x^3-27=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436578 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=436578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the polynomial equation by using the zero product principle. <BR>\n" );
document.write( "x^3-27=0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-3)(x^2+3x+27) = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve the quadratic factor:<BR>\n" );
document.write( "x^2 + 3x + 27 = 0<BR>\n" );
document.write( "x = [-3 +- sqrt(9-4*27)/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [-3 +- sqrt(-99)]/2<BR>\n" );
document.write( "--<BR>\n" );
document.write( "x = [-3+-3sqrt(11)i]/2 (2 complex number solutions)<BR>\n" );
document.write( "x = 3 (the Real Number solution)<BR>\n" );
document.write( "====================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );