document.write( "Question 622008: Please Help! Factor
\n" ); document.write( "x^8-1 This problem seems simple, but is making my head spin!! Thank you!!!
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #391094 by KMST(5399) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E8-1=%28x%5E4%29%5E2-1=%28x%5E4%2B1%29%28x%5E4-1%29\"$ for starters.
\n" ); document.write( " $\"x%5E4%2B1=0\"$ does not have real solutions, so you cannot factor $\"x%5E4%2B1\"$
\n" ); document.write( "However,
\n" ); document.write( " $\"x%5E4-1=%28x%5E2%29%5E2-1=%28x%5E2%2B1%29%28x%5E2-1%29\"$
\n" ); document.write( " $\"x%5E2%2B1=0\"$ does not have real solutions, so you cannot factor $\"x%5E2%2B1\"$
\n" ); document.write( "However,
\n" ); document.write( " $\"x%5E2-1=%28x%2B1%29%28x-1%29\"$
\n" ); document.write( "Putting it all together, you get to the full factorization in a few steps
\n" ); document.write( "

\n" ); document.write( "

\n" );