Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
Synthetic division is a method used to divide polynomials, specifically when dividing by a linear factor. It simplifies the process by using coefficients instead of variables.
Related terms
Remainder Theorem: A theorem that states if you divide a polynomial f(x) by (x - c), then the remainder is equal to f(c).
Factor Theorem: A theorem that states if (x - c) is a factor of a polynomial f(x), then f(c) = 0.
Rational Root Theorem: A theorem that helps find possible rational roots (zeros) of a polynomial equation.