Loading...

Polynomial Division Calculator

Divide one polynomial by another. Enter coefficients of dividend and divisor separated by commas.

Math

Share

Dividend Coefficients (highest to constant)

Divisor Coefficients (highest to constant)

Formula

Divide a polynomial P(x) by another polynomial Q(x). Enter coefficients from highest degree to constant term, separated by commas.

P(x) ÷ Q(x) = Quotient + Remainder / Q(x)

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter dividend coefficients (e.g. 5,4,3,2,1 for 5x⁴+4x³+3x²+2x+1).
2Enter divisor coefficients (e.g. 1,1 for x+1).
3Click Calculate to get the quotient and remainder.

Examples

Divide x²+3x+2 by x+1

1.Enter dividend=2,3,1 (constant→highest).
2.Enter divisor=1,1.
3.Result: quotient = [1,2], remainder = 0 meaning x+2.

Result: Quotient: [1, 2], Remainder: 0

Divide x²+5x+6 by x+2

1.Enter dividend=6,5,1.
2.Enter divisor=2,1 for x+2.
3.Result: quotient = [1,3], remainder = 0 meaning x+3.

Result: Quotient: [1, 3], Remainder: 0

Frequently Asked Questions

Enter from constant term to highest degree, separated by commas. For 2x²+3x+1 enter 1,3,2.

Linear divisors like x−c work best. The calculator uses synthetic division for linear divisors.

A non-zero remainder means the dividend is not evenly divisible by the divisor. The result is quotient + remainder/divisor.

The divisor should be polynomial coefficients. For x+1 enter 1,1 (constant=1, coefficient=1).

Any degree works for the dividend, but the divisor is best suited for linear (degree 1) polynomials.

Related Calculators

Polynomial Roots Calculator Factoring Calculator Equation Solver Quadratic Equation Calculator Percentage Calculator Basic Calculator

CalculateMe Team

Last updated: 2026-07-13

Polynomial Division Calculator - Divide Polynomials | CalculateMe | CalculateMe