document.write( "Question 706842: Please put the following polynomial into a simpler form involving a fraction: $\"+1%2Bx%2Bx%5E2%2Bx%5E3%2Bx%5E4%2Bx%5E5%2Bx%5E6%2Bx%5E7+\"$ . I need it to compute the area of the polygon whose vertices are the solutions in the complex plane to this same polynomial. \n" ); document.write( "

Algebra.Com's Answer #435702 by KMST(5328) $\"\"$ $\"About$

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$\"+1%2Bx%2Bx%5E2%2Bx%5E3%2Bx%5E4%2Bx%5E5%2Bx%5E6%2Bx%5E7+\"$ is the sum of a geometric sequence.
\n" ); document.write( "I always rediscover the formula for a sum, because it's just as easy as looking it up a cumbersome formula and applying it.
\n" ); document.write( " $\"S=1%2Bx%2Bx%5E2%2Bx%5E3%2Bx%5E4%2Bx%5E5%2Bx%5E6%2Bx%5E7\"$
\n" ); document.write( " $\"Sx=x%2Bx%5E2%2Bx%5E3%2Bx%5E4%2Bx%5E5%2Bx%5E6%2Bx%5E7%2Bx%5E8\"$
\n" ); document.write( " $\"Sx-S=x%5E8-1\"$ --> $\"S%28x-1%29=x%5E8-1\"$ --> $\"S=highlight%28%28x%5E8-1%29%2F%28x-1%29%29\"$ \n" ); document.write( "

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