document.write( "Question 225063: please help me solve $\"%28x%5E3-3x%5E2%2Bx-3%29%2F%28x%5E2%2B1%29\"$ \n" ); document.write( "

Algebra.Com's Answer #168022 by LtAurora(115) $\"\"$ $\"About$

You can put this solution on YOUR website!
Using synthetic division we can factor the numerator:
\n" ); document.write( "(Disregard the periods, I was trying to get the spacing to look a bit better).
\n" ); document.write( "3|1 -3 1 -3
\n" ); document.write( "..|..+3 0 +3
\n" ); document.write( " -----------
\n" ); document.write( "....1 0 1 0
\n" ); document.write( "Thus the numerator is: $\"%28x-3%29%28x%5E2%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "So, our fraction is:
\n" ); document.write( " $\"%28%28x-3%29%28x%5E2%2B1%29%29%2F%28x%5E2%2B1%29\"$
\n" ); document.write( "The $\"%28x%5E2%2B1%29\"$ cancels to leave us with:
\n" ); document.write( " $\"%28x-3%29\"$ \n" ); document.write( "

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