x^3 + 9x^2 -2x + 7
10x - 4 [ 10x^4 + 86x^3 - 56x^2 + 78x - 31 ]
-(10x^4 - 4x^3)
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90x^3 - 56x^2
-( 90x^3 - 36x^2)
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-20x^2 + 78x
-(-20x^2 + 8x)
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70x - 31
-(70x - 28)
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- 3
So....the residual polynomial is x^3 + 9x^2 - 2x + 7 R [ -3 / ( 10x - 4)) ]
6x^3 + 5x^2 + 9x + 4
2x + 8 [ 12x^4 + 58x^3 + 58x^2 + 80x + 41 ]
-(12x^4 + 48x^3)
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10x^3 + 58x^2
-(10x^3 + 40x^2)
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18x^2 + 80x
-(18x^2 + 72x)
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8x + 41
-(8x + 32)
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9
The residual polynomial is 6x^3 + 5x^2 + 9x + 4 R [ 9 / ( 2x + 8) ]