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Question
Divide: x3 − 6x2 + 11x − 6 by x2 − 4x + 3
Solution
x3 − 6x2 + 11x − 6 by x2 − 4x + 3
`"x"^2 − "4x" + 3)overline ("x"^3 - 6"x"^2 + 11"x" - 6)("x" - 2`
x2 − 4x2 + 3x
− + −
−2x2 + 8x − 6
−2x2 + 8x − 6
+ − +
xxx
= x − 2
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