`e)` 

`(x^2 + x - 12) : (x - 3)`

`= (x^2 - 3x + 4x - 12) : (x - 3)`

`= [x(x - 3) + 4(x - 3)] : (x - 3)`

`= [(x - 3)(x + 4)] : (x - 3)`

`= x + 4`

`f)` 

`(x^2 - 4x + 3) : (x - 3)`

`= (x^2 - 3x - x + 3) : (x - 3)`

`= [x(x - 3) - (x - 3)] : (x - 3)`

`= [(x - 3)(x - 1)] : (x - 3)`

`= x - 1`

`g)` 

`(x^2 + 5x - 6) : (x - 1)`

`= (x^2 - x + 6x - 6) : (x - 1)`

`= [x(x - 1) + 6(x - 1)] : (x - 1)`

`= [(x - 1)(x + 6)] : (x - 1)`

`= x + 6`

`h)` 

`(x^2 + 4x - 7) : (x - 2)`

`= (x^2 - 2x + 6x - 12 + 5) : (x - 2)`

`= [x(x - 2) + 6(x - 2) + 5] : (x - 2)`

`= [(x - 2)(x + 6) + 5] : (x - 2)`

`= x + 6` (dư `5`)

`i)` 

`(x^3 + 5x^2 + 11x + 10) : (x + 2)`

`= (x^3 + 2x^2 + 3x^2 + 6x + 5x + 10) : (x + 2)`

`= [x^2(x + 2) + 3x(x + 2) + 5(x + 2)] : (x + 2)`

`= [(x + 2)(x^2 + 3x + 5)] : (x + 2)`

`= x^2 + 3x + 5`

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