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Synthetic Division

Calculate Synthetic Division instantly with the exact formula and a worked example.

Synthetic Division

x³ coef.
Coefficient of x²
Coefficient of x
constant
x =
P(x)
0
Calculate Synthetic Division instantly with the exact formula and a worked example.

More about: Synthetic Division

What it calculates

The “Synthetic Division” calculator computes P(x) from 5 parameters: x³ coef., coefficient of x², coefficient of x, constant, x =.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters x³ coef. = 1, Coefficient of x² = -6, Coefficient of x = 11, constant = -6, x = = 1 the result is 0.

How to use

  1. Enter x³ coef., coefficient of x², coefficient of x, constant and x = — each field above is adjustable with a slider.
  2. P(x) is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Synthetic Division calculated?
The Synthetic Division calculator computes P(x) from x³ coef., coefficient of x², coefficient of x, constant, x =. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Synthetic Division calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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