1. Warm Up
Solve by Factoring
𝑥 2 +14𝑥+48=0

2. 5.4 Factoring Polynomials
Essential Question: How do you factor a polynomial with GCFs?

3. Always look for a GCF
Factor
2 𝑥 𝑥 𝑥 3

4. Always look for a GCF
Solve
3 𝑥 𝑥 𝑥 2

5. Factor by Grouping
Factor
𝑎𝑥+𝑏𝑥+𝑎𝑦+𝑏𝑦

6. Solve by Grouping
Solve
6 𝑥 3 −8 𝑥 2 +21𝑥−28

7. Solve by Grouping
Solve
6 𝑥 3 −8 𝑥 2 +21𝑥−28=0

8. U-Substitution
Factoring
𝑥 𝑥 2 −56

9. U-Substitution
Factoring
𝑥 6 −12 𝑥 3 −64

10. Exit Ticket
Solve by Factoring
15 𝑥 3 −3 𝑥 2 −20𝑥+4

11. Warm Up
Solve
𝑎 2 −121=0
4𝑥 2 −25=0

12. Practice Factoring Polynomials
5𝑥 𝑥+250=0

13. Forms of Quadratics and their Intercept/Factored form
𝑥 2 −8𝑥−48=0
(𝑥−12)(𝑥+4)=0
2 𝑥 2 +3𝑥−9=0
(2x−3)(x+3)=0
𝑥 3 −2 𝑥 2 +3𝑥−6=0
( x 2 +3)(x−2)=0
𝑥 2 +15𝑥=0
𝑥(𝑥+15)=0
𝑥 2 −16=0
(𝑥−4)(𝑥+4)=0

14. Practice Factoring Polynomials
Solve
1.) 2𝑥 2 −36𝑥+90=0
2.) 𝑦 3 −9𝑦=0
Factor
3.) 15𝑞 𝑞 2 +3𝑞+8
4.) 60𝑥 4 −300 𝑥 3 −42 𝑥 𝑥
5.) A trunk in the shape of a rectangular prism has a volume of
6 𝑥 𝑥 2 −28𝑥. What expressions can represent the dimensions of the trunk?