using the synthetic div method
-1 ] 1 -6 -1 10 6
1 -1 7 -6 -4
-7 6 4 2
ANSWER: 2
Using polynomial division
n^3 -7n^2 + 6n + 4
n + 1 [ n^4 - 6n^3 - n^2 + 10n + 6 ]
-(n^4 + n^3)
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-7n^3 - n^2
- (-7n^3 - 7n^2 )
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6n^2 + 10n
-( 6n^2 + 6n)
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4n + 6
-(4n + 4)
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2
The residual polynomial is n^3 - 7n^2 + 6n + 4 R [ 2 / (n + 1) ]