Synthetic Division Calculator

Enter synthetic division coefficients

x⁶

x⁵

x⁴

x³

x²

x

Constant

x - x +

Use synthetic division for:

x4 + 6x3 + 2x2 - 9x + 6
x - 2

Determine our root divisor:

Solve the divisor equation x - 2 = 0
Add 2 to each side of the equation to get
x - 2 + 2 = 0 + 2
Therefore, our root becomes x = 2

Write down coefficients and root of 2

	1	6	2	-9	6
2

Bring down the first coefficient of 1

	1	6	2	-9	6
2	↓
	1

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

	1	6	2	-9	6
2		2
	1

Add the new entry of 2

2 + 6 = 8
Put this in the answer column 2:

	1	6	2	-9	6
2		2
	1	8

Multiply our root 2 by 8
Take 16 and put that in column 3:

	1	6	2	-9	6
2		2	16
	1	8

Add the new entry of 16

16 + 2 = 18
Put this in the answer column 3:

	1	6	2	-9	6
2		2	16
	1	8	18

Multiply our root 2 by 18
Take 36 and put that in column 4:

	1	6	2	-9	6
2		2	16	36
	1	8	18

Add the new entry of 36

36 + -9 = 27
Put this in the answer column 4:

	1	6	2	-9	6
2		2	16	36
	1	8	18	27

Multiply our root 2 by 27
Take 54 and put that in column 5:

	1	6	2	-9	6
2		2	16	36	54
	1	8	18	27

Add the new entry of 54

54 + 6 = 60
Put this in the answer column 5:

	1	6	2	-9	6
2		2	16	36	54
	1	8	18	27	60

Leading Answer Term = x^{(4 - 1)} = x³

Build remainder

The last number in our result 60 ≠ 0
Our answer will have a remainder.
Remainder = 60 / (x - 2)

Answer  =

x3 + 8x2 + 18x + 27 +

You have 2 free calculationss remaining

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Synthetic Division Calculator Video

Tags:

• division
• polynomial
• ruffinis rule
• synthetic division

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