Polynomial Synthetic Division

Math

Synthetic Division for polynomials. Formula: Divide ax³+bx²+cx+d by (x−k) using synthetic division algorithm.

Formula

Synthetic Division: divide polynomial by (x−k)

x³−6x²+11x−6 ÷ (x−2)

Inputs
  • x³ coef (a): 1
  • x² coef (b): -6
  • x coef (c): 11
  • constant (d): -6
  • Divisor (x−k), enter k: 2

Result: x² − 4x + 3 with remainder 0

Frequently asked questions

What is synthetic division?
Fast method to divide polynomials by linear factors (x−k)