Polynomial Division Calculator

Divide one polynomial by another using long division. Enter coefficients of the dividend and divisor.

Dividend P(x) — coefficients (highest to lowest)

Divisor D(x) — coefficients

Enter coefficients for dividend and divisor.

Polynomial Long Division

P(x) ÷ D(x) = Q(x) + R(x)/D(x)

Where Q(x) is the quotient and R(x) is the remainder. The degree of R is always less than the degree of D.

Example: (x³ − 3x² + 2x + 5) ÷ (x − 1)
Quotient: x² − 2x
Remainder: 5
Result: x² − 2x + 5/(x − 1)

The remainder is zero when D(x) is a factor of P(x). By the Factor Theorem, (x − a) is a factor of P(x) if P(a) = 0.

Last updated: 2026-08-08