document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995742>Question 995742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the polynomial as the product of linear factors. List all the zeroes of the function as well.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x) = x4 &#8722; 81\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614400 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52794)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=614400\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Write the polynomial as the product of linear factors. List all the zeroes of the function as well. <BR>\n" );
document.write( "f(x) = x4 &#8722; 81 <BR>\n" );
document.write( "-----------------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-81 ALIGN=MIDDLE  ALT=\"x%5E4-81\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-9%29%2A%28x%5E2%2B9%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-9%29%2A%28x%5E2%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2A%28x%2B3%29%2A%28x-3i%29%2A%28x%2B3i%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%2A%28x%2B3%29%2A%28x-3i%29%2A%28x%2B3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "is factorization of the polynomial into the product of linear factors.\r<BR>\n" );
document.write( "\n" );
document.write( "Notice that the two last factors include complex numbers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The roots of the polynomial are -3, 3, -3i and 3i.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );