Enter synthetic division coefficients

x⁶

x⁵

x⁴

x³

x²

x

Constant

x - x +

Use synthetic division for:

2x3 - 4x2 - 22x + 24
x - 4

Determine our root divisor:

Solve the divisor equation x - 4 = 0
Add 4 to each side of the equation to get
x - 4 + 4 = 0 + 4
Therefore, our root becomes x = 4

Write down coefficients and root of 4

	2	-4	-22	24
4

Bring down the first coefficient of 2

	2	-4	-22	24
4	↓
	2

Multiply our root 4 by 2
Take 8 and put that in column 2:

	2	-4	-22	24
4		8
	2

Add the new entry of 8

8 + -4 = 4
Put this in the answer column 2:

	2	-4	-22	24
4		8
	2	4

Multiply our root 4 by 4
Take 16 and put that in column 3:

	2	-4	-22	24
4		8	16
	2	4

Add the new entry of 16

16 + -22 = -6
Put this in the answer column 3:

	2	-4	-22	24
4		8	16
	2	4	-6

Multiply our root 4 by -6
Take -24 and put that in column 4:

	2	-4	-22	24
4		8	16	-24
	2	4	-6

Add the new entry of -24

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

	2	-4	-22	24
4		8	16	-24
	2	4	-6	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