Use synthetic division for:
2x3 - 4x2 - 22x + 24 | |
x - 1 |
Determine our root divisor:
Solve the divisor equation x - 1 = 0
Add 1 to each side of the equation to get
x - 1 + 1 = 0 + 1
Therefore, our root becomes x = 1
Multiply our root 1 by 2Take
2 and put that in column 2:
2 +
-4 =
-2Put this in the answer column 2:
Multiply our root 1 by -2Take
-2 and put that in column 3:
-2 +
-22 =
-24Put this in the answer column 3:
| 2 | -4 | -22 | 24 |
1 | | 2 | -2 | |
| 2 | -2 | -24 | |
Multiply our root 1 by -24Take
-24 and put that in column 4:
| 2 | -4 | -22 | 24 |
1 | | 2 | -2 | -24 |
| 2 | -2 | -24 | |
-24 +
24 =
0Put this in the answer column 4:
| 2 | -4 | -22 | 24 |
1 | | 2 | -2 | -24 |
| 2 | -2 | -24 | 0 |
Leading Answer Term = x
(3 - 1) = x
2 Since the last number in our result line = 0, we will not have a remainder and have a clean quotient which is shown below in our answer:
It appears your answer forms a quadratic equation since the maximum power of your result equation is 2 and your remainder is zero. Click
here to solve this quadratic equation