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Question
Divide: 16 + 8x + x6 − 8x3 − 2x4 + x2 by x + 4 − x3
Solution
`-"x"^3+"x"+4)overline(+"x"^6-2"x"^4-8"x"^3+"x"^2+8"x"+16)(-"x"^3+"x"+4`
+ x6 − x4 − 4x3
− + +
−x4 −4x3 + x2 + 8x +16
−x4 + x2 + 4x
+ − −
−4x3 + 4x + 16
−4x3 + 4x + 16
+ − −
×
∴ −x3 + x + 4
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