Polynomial Long Division

Divide polynomials with quotient and remainder

Coefficients, highest power first, separated by commas

x^3 − 2x^2 + 5 = (x − 3)(x^2 + x + 3) + (14)
Quotient Q(x)
x^2 + x + 3
Remainder R(x)
14
Check: P(x) = D(x) · Q(x) + R(x)
x^3 − 2x^2 + 5 = (x − 3)(x^2 + x + 3) + (14)
Long division tableauDividend P(x): x^3 − 2x^2 + 5. Divisor D(x): x − 3. Quotient Q(x): x^2 + x + 3. Remainder R(x): 14.x³x²x1113x − 31-205−1-3105−1-335−3-914

关于这个计算器

The Polynomial Long Division calculator divides one polynomial by another and returns the quotient and remainder, with a worked long-division tableau that shows each elimination step. Enter coefficients highest power first. Useful for algebra, factoring, partial fractions, and finding asymptotes.

常见示例

  • (x³ − 2x² + 5) ÷ (x − 3) → quotient x² + x + 3, remainder 14
  • (x² − 5x + 6) ÷ (x − 2) → quotient x − 3, remainder 0
  • (2x² + 3x − 2) ÷ (2x − 1) → quotient x + 2, remainder 0
  • (x² + 1) ÷ (2x) → quotient 0.5x, remainder 1