Polynomial graphs review worksheet with algebraic problems and graphing exercises.

Final Answer:
1. $ x^2 + 3x - 4 $
2. $ x^2 + 5x + 6 $
3. $ (x - 9)(x - 20) $
4. $ \frac{2x - 1}{x + 3} $
5. $ \frac{(x - 2)(x + 3)}{x - 6} $
6. $ x = -\frac{1}{2} $
7. $ F(x) = 2(x + 2)^2(x - 3) $
8. $ D(x) = 4(x + 5)^2 $

Degree: 3
End Behavior: As $ x \to \infty $, $ F(x) \to \infty $; as $ x \to -\infty $, $ F(x) \to -\infty $
Zeros/Multiplicity: $ x = -2 $ (multiplicity 2), $ x = 3 $ (multiplicity 1)

Degree: 2
End Behavior: As $ x \to \pm\infty $, $ D(x) \to \infty $
Zeros/Multiplicity: $ x = -5 $ (multiplicity 2)