6.1.6 Synthetic Division and the Remainder and Factor Theorems - Practice
2. Evaluate the polynomial for the given values by using synthetic division. P ( x ) = 2 x 3 + 7 x 2 − 12 for x = − 3 and x = 3
1. Divide using the synthetic division method. (2 x 3 + 7 x 2 + 2 x − 12) ÷ ( x + 3)
4. Identify the binomial that is a factor of the polynomial P ( x ) = 3 x 3 − 11 x 2 − 2 x + 24.
3. Identify the binomial that is not a factor of the polynomial P ( x ) = x 3 + 7 x 2 + 4 x − 12.
○ x − 4 ○ x − 2 ○ x + 2 ○ x + 4
○ x + 6 ○ x − 1 ○ x − 4 ○ x + 2
6. Write an expression for the height of a rectangle if the area is represented by 3 x 3 − x 2 − 6 x − 8 and the base is represented by x − 2.
5. Find the factors of f ( x ), given that x = − 2 is a zero. f ( x ) = x 3 + x 2 − 14 x − 24
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