Question

What is the result when 2x^3−9x^2 +11x−6 is divided by x−3 ? Show your work.

Answer 1

To perform polynomial division, we can use the long division method:

2x^2 + x + 2
_________________________
x - 3 | 2x^3 - 9x^2 + 11x - 6
- (2x^3 - 6x^2)
________________________
- 3x^2 + 11x - 6
- (-3x^2 + 9x)
__________________
2x - 6
- (2x - 6)
___________
0

Therefore, the result of dividing 2x^3 - 9x^2 + 11x - 6 by x - 3 is 2x^2 + x + 2.