Synthetic division is a streamlined method for dividing polynomials, particularly useful when dividing by a linear factor of the form (x - c). It simplifies the process by only using the coefficients of the polynomials, making it faster and less error-prone than traditional long division.

Synthetic Division

Synthetic division

dividing polynomials

A linear factor is a polynomial of degree one, typically represented as (ax + b), where a and b are constants and x is a variable. Linear factors are fundamental in polynomial factorization, as they are the building blocks for expressing higher-degree polynomials as products of simpler polynomials.

linear factor

(x - c)

coefficients of the polynomials

traditional long division

streamlined method

Faster division

Less error-prone division

Understanding Synthetic Division in Polynomial Calculations

Rational Roots and Polynomial Factorization

Rational Root Theorem

CUSTOMIZE YOUR LEARNING

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