Synthetic Division Calculator

Synthetic Division Calculator MathCelebrity logo Image to Crop Use synthetic division for:
x2 + x + 6
x - 0

Determine our root divisor:

Solve the divisor equation x + 0 = 0
Subtract 0 from each side of the equation to get
x + 0 - 0 = 0 - 0
Therefore, our root becomes x = 0
                  1         1         6
  0                             
         
                  1         1         6
  0           ↓                  
                  1                  

Multiply our root 0 by 1
Take 0 and put that in column 2:

                  1         1         6
  0                    0         
                  1                  
0 + 1 = 1
Put this in the answer column 2:
                  1         1         6
  0                    0         
                  1         1         

Multiply our root 0 by 1
Take 0 and put that in column 3:

                  1         1         6
  0                    0         0
                  1         1         
0 + 6 = 6
Put this in the answer column 3:
                  1         1         6
  0                    0         0
                  1         1         6

Leading Answer Term = x(2 - 1) = x1

Build remainder

The last number in our result 6 ≠ 0
Our answer will have a remainder.
Remainder = 6 / (x - 0)
Answer  =
 

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How does the Synthetic Division Calculator work?

Free Synthetic Division Calculator - Using Ruffinis Rule, this performs synthetic division by dividing a polynomial with a maximum degree of 6 by a term (x ± c) where c is a constant root using the factor theorem. The calculator returns a quotient answer that includes a remainder if applicable. Also known as the Rational Zero Theorem
This calculator has 1 input.

What 3 formulas are used for the Synthetic Division Calculator?

For x + a, our root is -1 * a
Write down our coefficients horizontally and our root of a to the left
Multiply root by last result and repeat process

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Synthetic Division Calculator?

divisionseparate a number into partspolynomialan expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).ruffinis rulean efficient method of dividing a polynomial by a linear factor, with or without a remainder. synthetic divisiona shorthand method for dividing a polynomial by a linear factor

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