Question

Divide using synthetic division
(x^2-5x+6) divided by (x-3)

Answer 1

So the answer is what?

Answer 2

wrong yet again!

(x^2-5x+6) divided by (x-3) equals x - 2

Answer 3

To divide (x^2-5x+6) by (x-3) using synthetic division, we set up the synthetic division grid:

3 | 1 -5 6
- 3
_______

Next, bring down the first coefficient (1) into the bottom row:

3 | 1 -5 6
- 3
_______
1

Next, multiply the divisor (3) by the last number in the bottom row (1), and write the result (-3) in the next column:

3 | 1 -5 6
-3 3
_______
1 -3

Next, add the corresponding numbers in the second and third columns, and write the result (-8) in the next column:

3 | 1 -5 6
-3 3
_______
1 -3
-8

Finally, multiply the divisor (3) by the last number in the bottom row (-8), and write the result (-24) in the next column:

3 | 1 -5 6
-3 3
_______
1 -3
-8
-24

The numbers in the bottom row represent the coefficients of the quotient, so the quotient is 1x - 3. Thus, (x^2-5x+6) divided by (x-3) equals x - 3.

Answer 4

The quotient is x - 3.

Answer 5

Apologies for the incorrect response earlier. You are correct. The quotient of (x^2-5x+6) divided by (x-3) is x - 2.