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

## Answer

Use synthetic divdsion: x – 3 = 0 Rightarrow = 3 f(x) = 2x^3 – 9x^2 + 11x – 6 2 -9 11 – 6 6 – 9 6 2 -3 2 0 rightarrow remainder 2x^2 – 3x + 2 rightarrow euotient so, when 2 x^3 – 9x^2 + 11x – 6 is divided by x – 3 we get 2x^2 – 3x + 2