Question

What is the answer for : f(x)=x^3 - 4x^2 +2x -6 divided by x-3

Answer 1

`x^2-x-1+(-9)/(x-3)`

Explanation:

I prefer to use synthetic division when possible. Here it is possible since we are dividing by a linear factor.

Since we are dividing by x-3, 3 goes on the outside.

If we were dividing by x+3, -3 goes on the outside.

3| 1 -4 2 -6

| 3 -3 -3

_______________

1 -1 -1 -9

So the quotient is 1x^2-1x-1 + (-9)/(x-3).

Let's simplify this and also put in the pretty math code:

`x^2-x-1+(-9)/(x-3)`