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

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

Always look for a GCF Factor 2 𝑥 5 +10 𝑥 4 +12 𝑥 3

Always look for a GCF Solve 3 𝑥 4 + 27𝑥 3 + 60𝑥 2

Factor by Grouping Factor 𝑎𝑥+𝑏𝑥+𝑎𝑦+𝑏𝑦

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

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

U-Substitution Factoring 𝑥 4 +10 𝑥 2 −56

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

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

Warm Up Solve 𝑎 2 −121=0 4𝑥 2 −25=0

Practice Factoring Polynomials 5𝑥 2 +135𝑥+250=0

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

Practice Factoring Polynomials Solve 1.) 2𝑥 2 −36𝑥+90=0 2.) 𝑦 3 −9𝑦=0 Factor 3.) 15𝑞 3 +40 𝑞 2 +3𝑞+8 4.) 60𝑥 4 −300 𝑥 3 −42 𝑥 2 +210𝑥 5.) A trunk in the shape of a rectangular prism has a volume of 6 𝑥 3 +38 𝑥 2 −28𝑥. What expressions can represent the dimensions of the trunk?