Polynomial Long Division
Calculate Polynomial Long Division instantly with the exact formula and a worked example.
Polynomial Long Division
Coefficient of x³
Coefficient of x²
Coefficient of x
const
Divisor (x − d)
P(d) (remainder)
0
Quotient
1x − 3
Quotient coefficients (highest degree first)
1; -3
Divisibility by (x − d)
Divides exactly: d is a root of the polynomial
More about: Polynomial Long Division
What it calculates
The “Polynomial Long Division” calculator computes P(d) (remainder) from 5 parameters: coefficient of x³, coefficient of x², coefficient of x, const, divisor (x − d).
A core calculation for studying, engineering tasks, and checking solutions.
Example calculation
With parameters Coefficient of x³ = 0, Coefficient of x² = 1, Coefficient of x = -5, const = 6, Divisor (x − d) = 2 the result is 0 (Division by Horner's scheme (synthetic division); by the remainder theorem the remainder equals P(d)).
How to use
- Enter coefficient of x³, coefficient of x², coefficient of x, const and divisor (x − d) — each field above is adjustable with a slider.
- P(d) (remainder) is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Polynomial Long Division calculated?
The Polynomial Long Division calculator computes P(d) (remainder) from coefficient of x³, coefficient of x², coefficient of x, const, divisor (x − d). Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Polynomial Long 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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