1. Factor and Solve Polynomial Equations
Chapter 2.4

2. Solve each Equation
𝑥 2 −64=0
𝑥 2 +4𝑥−21=0
2𝑥 2 −𝑥−28=0
5 𝑥 2 +20𝑥=0

3. Factor each Polynomial Completely
𝑥 3 +2 𝑥 2 −15𝑥
2𝑦 5 −18 𝑦 3
4𝑐 4 −16 𝑐 𝑐 2

4. Factor each Polynomial Completely
4. 𝑦 3 −4 𝑦 2 −12𝑦
5. 3𝑥 𝑥 2 +75𝑥
6. 5𝑔 5 −80 𝑔 2

5. Sum and Difference of Two Cubes

6. Factor each polynomial completely
𝑥 3 +64
125𝑛
𝑤 3 −27

7. Factor each polynomial completely
4. 16 𝑦 5 − 250𝑦 2
5. 27 𝑥
6. −2 𝑑 𝑑 2

8. Factor By Grouping 𝑥 3 −3 𝑥 2 −16𝑥+48 27𝑦 3 +45 𝑦 2 −3𝑦−5
𝑥 3 −7 𝑥 2 −9𝑥−63

9. Factor polynomials in quartic form
16𝑥 4 −81
2𝑝 𝑝 𝑝 2
10𝑥 4 −10

10. Factor polynomials in quartic form
4. 3𝑚 𝑚 𝑚 2
5. 16ℎ 4 −625
6. 4𝑏 6 −20 𝑏 𝑏 2

11. Solve Polynomial Equations
𝑤 2 −3𝑤=0
𝑥 2 −5𝑥+6=0
𝑥 3 + 𝑥 2 −9𝑥=9
𝑑 2 =16
3𝑥 5 +15𝑥=18 𝑥 3

12. Solve Polynomial Equations
6. 𝑣 3 + 5𝑣 2 =0
7. 𝑥 2 −7𝑥+10=0
8. 𝑥 3 + 𝑥 2 −25𝑥=25
9. 𝑎 2 =81
10. 2𝑥 5 = 12𝑥 3 −16𝑥