document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390481>Question 390481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor<BR>\n" );
document.write( "x^5 - 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276884 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=276884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A neat shortcut:\r<BR>\n" );
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document.write( "If you know that the sum of a geometric sequence\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+x%5E2+%2B+x%5E3 ALIGN=MIDDLE  ALT=\"x+%2B+x%5E2+%2B+x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + ... + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5En ALIGN=MIDDLE  ALT=\"x%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%28n%2B1%29+-+1%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%28x%5E%28n%2B1%29+-+1%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can obtain\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+x%5E2+%2B+x%5E3+%2B+x%5E4+=+%28x%5E5+-+1%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"x+%2B+x%5E2+%2B+x%5E3+%2B+x%5E4+=+%28x%5E5+-+1%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiplying both sides by x-1, we get the factorization of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5+-+1 ALIGN=MIDDLE  ALT=\"x%5E5+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5+-+1+=+%28x+%2B+x%5E2+%2B+x%5E3+%2B+x%5E4%29%28x-1%29 ALIGN=MIDDLE  ALT=\"x%5E5+-+1+=+%28x+%2B+x%5E2+%2B+x%5E3+%2B+x%5E4%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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