Factoring Refresh - Lesson 7.1

Factoring Refresh Lesson 7.1

Essential Question: How can I factor polynomials?

What's the plan for today?

• Classwork | Factoring Quizizz

• Complete this Quizizz to be marked PRESENT for today.

• SURPRISE AT THE END!

Open Ended

Let's kick this off with...Which one doesn't belong? Explain your thinking.

Yes, there is a reason EVERY fraction doesn't belong :)

Open Ended

On the scale of "cat", how do you feel today? Please tell me more!

Watch our "trailer"!🍿

Time: 3 min

This will quickly review the Edpuzzle!

Multiple Choice

Factor completely!

 $x^2-9x+18$  

•  $\left(x-3\right)\left(x-6\right)$  

•  $\left(x-2\right)\left(x-9\right)$  

•  $\left(x-4\right)\left(x-5\right)$  

• Prime (it does not factor)

Check your answer!

Multiple Choice

Factor completely.

 $3x^2-13x+10$  

•  $\left(x-3\right)\left(x-10\right)$  

•  $\left(3x-10\right)\left(x-1\right)$  

•  $\left(3x-5\right)\left(x-2\right)$  

• Prime, it doesn't factor.

Check your work!

Multiple Choice

I bet you know what you do!

 $4x^2-64$  

•  $\left(2x-8\right)^2$  

•  $2\left(x-4\right)^2$  

•  $\left(2x+8\right)\left(2x-8\right)$  

•  $4\left(x-4\right)\left(x+4\right)$  

Check your answer!

Multiple Choice

Get ready to "wash" your hands...with S.O.A.P.

 $x^3-64$  

•  $\left(x-4\right)^3$  

•  $\left(x-8\right)\left(x+8\right)$  

•  $\left(x-4\right)\left(x^2+4x+8\right)$  

•  $\left(x-4\right)\left(x^2+4x+16\right)$  

Check your work!

Multiple Select

Select ALL EQUIVALENT forms of the polynomial

 $4m^4-16m^2$  

•  $\left(2m^2-4m\right)\left(2m^2+4m\right)$  

•  $4m^2\left(m+2\right)\left(m-2\right)$  

•  $4m^2\left(m-4\right)^2$  

•  $m^2\left(2m-4\right)\left(2m+4\right)$  

There are 3 ways to simplify - only #1 is the MOST simplified

Multiple Choice

Factor, factor,...FACTOR!

 $8h^2+64h^5$  

•  $8h^2\left(1+8h^3\right)$  
  

•  $8h^2\left(2h+1\right)\left(2h^2+h+4\right)$  
  

•  $8h^2\left(2h+1\right)\left(4h^2-2h+1\right)$  
  

• It's prime, and cannot be factored.

Check your answer!

Poll

How comfortable do you feel with factoring?

• Feeling great! I could teach it to someone.

• Doing alright! I could practice on my own, but would like Mrs. Hawkins to check.

• I'm feeling okay. Could I get more examples with Mrs. Hawkins?

Time for good news!

Since I am out today (and you won't get a Q&A), Practice #7.1 will be due FRIDAY 11:59PM.

What does this mean?

We will have a Q&A over 7.1 and 7.2 on Friday! Practice #7.1 AND #7.2 will be due Fri 11:59PM

BEGIN #7.1 NOW so you don't have too much on Friday!