Algebra 2 Companion Book, Volume 2

6.1.6 Synthetic Division and the Remainder and Factor Theorems Key Objectives

• Use synthetic division to divide polynomials. • Use the Remainder and Factor Theorems. Example 1 Synthetic Division

Synthetic division is a shorthand method for dividing a polynomial by a linear binomial by using only the coefficients. When using synthetic division, the polynomial must be written in standard form, using 0 as a coefficient for any missing terms, and the divisor must be in the form ( x − a ).

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