what is the quotient when 3x^3-11x^2+10x-12 is divided by x-3 ?

Answer 1

You can use long division method or you can use Horner method.
Horner is easier and faster.
3 | 3 -11. 10 -12
| 9 -6 12
---------------
3 -2 4 0

So, the quotient is 3x^2 - 2x + 4