## Enter synthetic division coefficients

x6

x5

x4

x3

x2

x
Constant
##### 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?
division
separate a number into parts
polynomial
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
ruffinis rule
an efficient method of dividing a polynomial by a linear factor, with or without a remainder.
synthetic division
a shorthand method for dividing a polynomial by a linear factor

## Synthetic Division Calculator Video

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