Question

How do you simplify and divide `(x^3-4x^2+5x-6)/(x^2-x+2)`?

Answer 1

`(x-3)`

Explanation:

`(x^3 -4x^2 +5x -6 )/(x^2-x+2)`

`= (x^3- 3x^2 -x^2+3x +2x -6 )/(x^2-x+2)`

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

`= ((x- 3) cancel((x^2-x+2)))/cancel((x^2-x+2) )`

`= (x-3)` [Ans]