Step-by-step explanation:
2x^3 -9x^2 +11x-6 divided by x-3
We use long division
2x^2 - 3x + 2
------------------------------
x - 3 2x^3 - 9x^2 + 11x - 6
2x^3 - 6x^2
--------------------------------------(subtract)
-3x^2 + 11x
-3x^2 + 9 x
----------------------------------------(subtract)
2x - 6
2x - 6
-----------------------------(subtract)
0
Quotient : 2x^2 - 3x + 2