What is the result when 2x^3 -9x^2 +11x-6 is divided by x-3?

Could I have some help solving this? I would like to know the steps I should take to get the correct answer.

2 answers

a little synthetic division shows that
2x^3 -9x^2 +11x-6 = (x-3)(2x^2-3x+2)

If you have not studied synthetic division yet, google polynomial long division for examples. Of course, you can also google synthetic division...
Thank you!