Polynomial division calculator

Divide polynomials using long division or synthetic division with full working.

Dividend
Divisor

Polynomial long division

Divide polynomials the same way you do long division with numbers. Divide leading terms, multiply back, subtract, bring down.

Synthetic division

A shortcut when dividing by (x − c). Only uses coefficients. Much faster for linear divisors.

Remainder theorem

When dividing p(x) by (x − c), the remainder equals p(c). If p(c) = 0, then (x − c) is a factor.

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