1. The Factor Theorem
A polynomial f(x) has a factor (x − k) if and only if f(k) = 0

2. Determining Whether a Linear Binomial Is a Factor
A polynomial f(x) has a factor (x − k) if and only if f(k) = 0

3. Factoring a Polynomial
Factor f(x) completely

4. Real-Life Application
Determine if 2 is a zero using synthetic division: 1 2 3 4 5
From the graph two zeros are : 2 and 3