Factoring to Solve Polynomial Equations

7.4 Solving Polynomial Equations in Factored Form

By Gianna Attardi

Multiple Choice

Warm Up #1: Factor out the GCF.

$$15b^5+5b^4+15b^3$$  

• $$5b^2\left(3b^2+b+3\right)$$  

• $$5b^3\left(3b^2+b+3\right)$$  

• $$b^3\left(3b^2+b+3\right)$$  

• $$b^2\left(3b^3+2b+3\right)$$  

Multiple Choice

Warm Up #2: Solve the equation.

$$\left(b+6\right)\left(b+2\right)=0$$  

• $$b=6,\ b=-4$$  

• $$b=\frac{1}{2},\ b=\frac{1}{5}$$  

• $$b=\frac{8}{5},\ b=-6$$  

• $$b=-6,\ b=-2$$  

Multiple Choice

Warm Up #3: Solve the equation.

$$m\left(2m-3\right)=0$$  

• $$m=-\frac{3}{2},\ m=0$$  

• $$m=5,\ m=8$$  

• $$m=-4,\ m=0$$  

• $$m=\frac{3}{2},\ m=0$$  

​Take out your 7.4 Notes!

​***EDIT***

Example 4a in your notes should be 2x²+8x=0.​

Poll

How'd you do?

• I could teach this to someone else.

• I've got it!

• I'm getting there, but need more practice.

• I'm LOST.