1. Optimization & Quadratics
Honors Analysis

2. 6 𝑎 2 𝑏 4 −8 𝑎 3 𝑏
FACTOR Completely

3. −32𝑥 3 +50𝑥 𝑦 2
Factor Completely

4. 12 𝑥 𝑥 2 −12𝑥
FACTOR COMPLETELY

5. 3 𝑥 𝑥 2 +2𝑥+10
FACTOR COMPLETELY

6. Expand each perfect square What patterns do you notice??
(𝑥+3) 2
(𝑥−4) 2
(𝑥+5) 2
(𝑥+𝑦) 2
Expand each perfect square What patterns do you notice??

7. What value of k makes each expression a perfect square trinomial?
𝑥 2 −8𝑥+𝑘
𝑥 2 −5𝑥+𝑘
9𝑥 2 +18𝑥+𝑘
What value of k makes each expression a perfect square trinomial?

8. Complete the square – write in vertex form
𝑦=𝑥 2 −6𝑥+1
𝑦= 2𝑥 2 −10𝑥+3
Complete the square – write in vertex form

9. Solve quadratics by completing the square

10. Solve by completing the square

11. Writing in Vertex Form

12. Vertex Form

13. Vertex Form

14. Vertex Form