Enter synthetic division coefficients

x⁶

x⁵

x⁴

x³

x²

x

Constant

x - x +

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

Write down coefficients and root of 1

	2	-4	-22	24
1

Bring down the first coefficient of 2

	2	-4	-22	24
1	↓
	2

Multiply our root 1 by 2
Take 2 and put that in column 2:

	2	-4	-22	24
1		2
	2

Add the new entry of 2

2 + -4 = -2
Put this in the answer column 2:

	2	-4	-22	24
1		2
	2	-2

Multiply our root 1 by -2
Take -2 and put that in column 3:

	2	-4	-22	24
1		2	-2
	2	-2

Add the new entry of -2

-2 + -22 = -24
Put this in the answer column 3:

	2	-4	-22	24
1		2	-2
	2	-2	-24

Multiply our root 1 by -24
Take -24 and put that in column 4:

	2	-4	-22	24
1		2	-2	-24
	2	-2	-24

Add the new entry of -24

-24 + 24 = 0
Put this in the answer column 4:

	2	-4	-22	24
1		2	-2	-24
	2	-2	-24	0

Leading Answer Term = x^{(3 - 1)} = x²

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