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Synthetic Division Calculator

Enter synthetic division coefficients

x6
x5
x4
x3
x2
x
Constant
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How does the Synthetic Division Calculator work?

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?

  1. For x + a, our root is -1 * a
  2. Write down our coefficients horizontally and our root of a to the left
  3. 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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