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You can put this solution on YOUR website!
you can solve this through synthetic division or by long division.
\n" ); document.write( "since the divisor is in the form of (x-a), synthetic division is the way to go.
\n" ); document.write( "you need to fill in each missing degree going from degree 8 to degree 1 whether you use synthetic division or not.
\n" ); document.write( "your equation of x^8 - 1 becomes:
\n" ); document.write( "x^8 + 0x^7 + 0x6 + 0x^5 + 0x^4 + 0x^3 + 0x^2 + 0x^1 - 1
\n" ); document.write( "the result of either synthetic division or long division will get you a result of:
\n" ); document.write( "x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x - 1
\n" ); document.write( "that's your answer.
\n" ); document.write( "you can confirm this solution is correct by multiplying it by (x-1) and you will get x^8 - 1 back again.
\n" ); document.write( "the start of your long division would look like this:
\n" ); document.write( "x^8 + 0x^7 + 0x6 + 0x^5 + 0x^4 + 0x^3 + 0x^2 + 0x^1 - 1 divided by (x-1)
\n" ); document.write( "the start of your synthetic division would look like this:
\n" ); document.write( "1 + 0 + 0 + 0 + 0 + 0 + 0 + 0 - 1 synthetically divided by 1.
\n" ); document.write( "if you need a lesson on how to do long division and how to do synthetic division, go to the following links:
\n" ); document.write( "long division:
\n" ); document.write( "http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut36_longdiv.htm
\n" ); document.write( "synthetic division:
\n" ); document.write( "http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut37_syndiv.htm\r
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