document.write( "Question 16532: Divide x^3 - 1 by x - 1, x^4 - 1 by x - 1, and x^5 - 1 by x - 1. What is the quotient when x^9 - 1 is divided by x - 1? \n" ); document.write( "

Algebra.Com's Answer #8066 by rahman(247) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x%5E3+-+1%29%2F%28x+-+1%29\"$ = $\"%28x%5E2%2Bx%2B1%29%28x-1%29%2F%28x-1%29\"$ = $\"x%5E2%2Bx%2B1\"$
\n" ); document.write( " $\"%28x%5E4+-+1%29%2F%28x+-+1%29\"$ = $\"%28x%5E3%2Bx%5E2%2Bx%2B1%29%28x-1%29%2F%28x-1%29\"$ = $\"x%5E3%2Bx%5E2%2Bx%2B1\"$
\n" ); document.write( " $\"%28x%5E5+-+1%29%2F%28x+-+1%29\"$ = $\"%28x%5E4%2Bx%5E3%2Bx%5E2%2Bx%2B1%29%28x-1%29%2F%28x-1%29\"$ = $\"x%5E4%2Bx%5E3%2Bx%5E2%2Bx%2B1\"$
\n" ); document.write( "Can you see the pattern?\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E9+-+1%29%2F%28x+-+1%29\"$ = $\"%28x%5E8%2Bx%5E7%2Bx%5E6%2Bx%5E5%2Bx%5E4%2Bx%5E3%2Bx%5E2%2Bx%2B1%29%28x-1%29%2F%28x-1%29\"$ = $\"x%5E8%2Bx%5E7%2Bx%5E6%2Bx%5E5%2Bx%5E4%2Bx%5E3%2Bx%5E2%2Bx%2B1\"$ \n" ); document.write( "

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