document.write( "Question 1140277: What is f(x) = x8 - 1 divided by x - 1? \n" ); document.write( "

Algebra.Com's Answer #760782 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"%28x%5E8+-+1%29+%2F%28x+-+1%29\"$ ......write $\"%28x%5E8+-+1%29\"$ as $\"%28%28x%5E4%29%5E2+-+1%5E2%29\"$ and factor it\r
\n" ); document.write( "\n" ); document.write( " $\"%28%28x%5E4%29%5E2+-+1%5E2%29%2F%28x+-+1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28%28x%5E4+-+1%29%28x%5E4%2B1%29%29%2F%28x+-+1%29\"$ ..........then $\"x%5E4+-+1=%28x%5E2%29%5E2+-+1=%28x%5E2-1%29%28x%5E2%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28%28x%5E2-1%29%28x%5E2%2B1%29%28x%5E4%2B1%29%29%2F%28x+-+1%29\"$ .....then $\"%28x%5E2-1%29=%28x-1%29%28x%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28%28x-1%29%28x%2B1%29%28x%5E2%2B1%29%28x%5E4%2B1%29%29%2F%28x+-+1%29\"$ .........simplify\r
\n" ); document.write( "\n" ); document.write( " $\"%28cross%28%28x-1%29%29%28x%2B1%29%28x%5E2%2B1%29%28x%5E4%2B1%29%29%2Fcross%28%28x+-+1%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B1%29%28x%5E2%2B1%29%28x%5E4%2B1%29\"$ .....expand\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E3%2Bx%2Bx%5E2%2B1%29%28x%5E4%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E7%2Bx%5E3%2Bx%5E6%2Bx%5E5%2Bx%5E2%2Bx%2Bx%5E4%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E7%2Bx%5E6%2Bx%5E5%2Bx%5E4%2Bx%5E3%2Bx%5E2%2Bx%2B1\"$ \r
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